I'm not sure I captured exacttly which min and max you wanted, but this code should get you started on the right track:

use strict;
use warnings;
my %timing1;
my %minmax;
chomp ($_=<DATA>);     # Hdr
my @hdr = split /\s+/; # Not used
while (<DATA>){
  chomp ;
  s/^\s+//;
  my @r=split /\s+/;
  $timing1{$r[1]}{$r[2]}{$r[3]}{$r[0]}=$r[4];
  $minmax{"$r[3]"}{MIN} ||= 9e9;
  $r[4] < $minmax{$r[3]}{MIN} and do{$minmax{$r[3]}{MIN} = $r[4]; $min
+max{$r[3]}{MINNAME} = $r[0]};
  $minmax{$r[3]}{MAX} ||= -9e9;
  $r[4] > $minmax{$r[3]}{MAX} and do{$minmax{$r[3]}{MAX} = $r[4]; $min
+max{$r[3]}{MAXNAME} = $r[0]};
}
foreach my $rName ( keys %timing1 ) { 
   foreach my $tType ( sort  keys %{$timing1{$rName}}) {             
       foreach my $rF ( sort keys %{$timing1{$rName}{$tType}}){       
+ 
            my @by_val = map {[$timing1{$rName}{$tType}{$rF}{$_},$_]} 
+ 
               keys   %{$timing1{$rName}{$tType}{$rF}};
            @by_val = sort { $a->[0] <=> $b->[0]} @by_val;
            foreach my $aref ( @by_val) {
               my ($val, $pinName) = @$aref;
               print  " $pinName\t $rName\t $tType\t $rF\t $val \n";
         }
      }
  }
}
# Min and Max ...
for my $k (sort keys %minmax){
  print "  $minmax{$k}{MINNAME} $k \t Min=", $minmax{$k}{MIN},
               "\t $minmax{$k}{MAXNAME} Max=", ($minmax{$k}{MAX} ) , 
               "\t Spread=", ($minmax{$k}{MAX} - $minmax{$k}{MIN} ) , 
               "\n";
} 
__DATA__
pin Name      related_pin  time_type    rise_fall             delay
 DQ5_RX_CLK     M2CLKP     c_rise     rise_transition     0.014446 
 DQ2_RX_CLK     M2CLKP     c_rise     rise_transition     0.014464 
 DQ0_RX_CLK     M2CLKP     c_rise     rise_transition     0.014452  
 DQ3_RX_CLK     M2CLKP     c_rise     rise_transition     0.014452 
 DQ7_RX_CLK     M2CLKP     c_rise     rise_transition     0.014430 
 DQ4_RX_CLK     M2CLKP     c_rise     rise_transition     0.014446 
 DQ8_RX_CLK     INT_CLK  c_fall  fall_transition     0.199360 
 DQ6_RX_CLK     INT_CLK  c_fall  fall_transition     0.199322 
 DQ1_RX_CLK     INT_CLK  c_fall  fall_transition     0.199500 
 DQ5_RX_CLK     INT_CLK  c_fall  fall_transition     0.199248 
 DQ2_RX_CLK     INT_CLK  c_fall  fall_transition     0.199368
[download]