If you use one line to "factor out" extra members from teams from other lines, then you can get 5 fair rounds:

_BCDE FGHI_ KLM_O PQ_ST UVWX. > AJNR.
A_KPU _GLQV CHMR_ DIN_X EJOT. > FBWS.
AGMS. BHN_U _IOPV DJ_QW EFLR_ > .TCKX
AHO_X BIKR. CJLS_ DF_TV _GNPW > Q.UME
AI_TW BJM_X CFNQ. _GORU E_KSV > LP.DH
ajnrV bfOsw cGktx dhlp. eImqu

BCDE FGHI KLMO PQST UVWX AJNR
AKPU GLQV CHMR DINX EJOT FBWS
AGMS BHNU IOPV DJQW EFLR TCKX
AHOX BIKR CJLS DFTV GNPW QUME
AITW BJMX CFNQ GORU EKSV LPDH
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