The generator matrix

 1  0  0  0  0  0  0  1  1  1  X  0  1  1  1  1  0  X  0  X  0  1  1  X  X  X  X  1  0  0  0  X  0  1  1  1  1  0  X  1  1  0  X  0  X  X  1  1  0  1  1  X  1  0  X  1  0  0  X  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X  X  1  0  1  1  1  X  X  1  1  0  1  1
 0  1  0  0  0  0  0  0  0  0  0  1  1 X+1  1  1  1  1  0  1  X  X  X  1  1  0  X  1  X  0  1  1  1  0  0  0  0  X  1  1  0  1  1  X  1  1  1  1  X  1  1  0  0  X  0  X  X  1  1  1  0 X+1  X  X  0  0  1 X+1  0 X+1  0  X  1  1  X  1  0  X X+1  X  X  0  1  1  1  1  0  0  X  0
 0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  X  X  X  X  0  0  1  1  1 X+1 X+1 X+1 X+1  1 X+1 X+1  1  1  1  1 X+1  1 X+1 X+1  1 X+1 X+1 X+1 X+1  1 X+1 X+1 X+1  0  X  0  1 X+1  X  1 X+1  1  X  X  X  1  1  1 X+1  X  1 X+1  X  1  0
 0  0  0  1  0  0  0  0  0  0  0  X  0  X  0  X  0  X  0  0  1 X+1  1  1 X+1  1  1 X+1  1  1  1 X+1 X+1  X X+1 X+1  X  X  1  1 X+1  X  1  0  1  0  0  1 X+1 X+1  1 X+1  1  1  0  0 X+1 X+1  X  X X+1  0 X+1  0  X  0  X X+1 X+1  X  X X+1  1  0  0  1  0  1  X  1 X+1 X+1  0  1  X  X  X  1 X+1  0
 0  0  0  0  1  0  0  0  1  1  1  1  0  1  X X+1  X  1  1  0  0  0  X  0  0 X+1  1  1  0  1  0 X+1  1  X  1  0 X+1  1  1  X X+1  X  X X+1  X  0  X X+1  1 X+1  0  0 X+1 X+1  X  1 X+1  1 X+1  0  X  X  1  0  X X+1  0  X  X X+1  0  1  0  X  1  X  0  X X+1  X X+1  0  0  0  0  1 X+1 X+1  0  0
 0  0  0  0  0  1  0  1  0 X+1  1  1  1  0  0 X+1 X+1  X  1 X+1  X  0  1 X+1  X  0 X+1  0  1 X+1  X  X  0  1 X+1  X  X  0 X+1  X X+1  0  X X+1 X+1  1  1  0  X X+1  1  1  X  1  1  X  0  X  1 X+1  0  X  0 X+1  0  0  0 X+1  1 X+1  0  0 X+1 X+1 X+1  X  0  1  0  1  1  0 X+1  X X+1  1  X  1  X  0
 0  0  0  0  0  0  1  1 X+1  X  1  0  X  0  1  1  1  1  0  X  1  0 X+1  1  0  X  1  0  X  0  1  X X+1  X  X  1  X  1 X+1  X X+1  1  0  X X+1  1  X  1  0  0  0 X+1  1 X+1  1  0 X+1  X X+1 X+1  1  0  0 X+1  0  0 X+1  0  X  1 X+1  1  1  0  X  X  1 X+1  1  0  X  1  X  0 X+1  X  X  0 X+1  0
 0  0  0  0  0  0  0  X  X  0  0  0  0  0  X  X  0  0  X  X  X  X  0  X  X  X  X  0  X  0  0  0  X  X  X  0  0  X  X  0  X  0  0  0  0  X  X  X  0  X  0  0  0  0  0  0  X  X  0  X  0  0  0  0  0  X  X  X  X  0  X  0  X  X  0  X  0  X  X  0  X  0  0  X  X  X  0  X  0  0

generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+89x^74+156x^75+311x^76+346x^77+552x^78+624x^79+782x^80+966x^81+988x^82+1162x^83+1332x^84+1406x^85+1547x^86+1766x^87+1693x^88+1716x^89+1774x^90+1832x^91+1677x^92+1714x^93+1635x^94+1578x^95+1376x^96+1182x^97+1020x^98+850x^99+717x^100+558x^101+427x^102+282x^103+249x^104+148x^105+131x^106+64x^107+50x^108+24x^109+23x^110+6x^111+3x^112+4x^113+6x^114+1x^116

The gray image is a linear code over GF(2) with n=180, k=15 and d=74.
This code was found by Heurico 1.11 in 78.2 seconds.