The generator matrix

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

generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+98x^76+188x^77+280x^78+388x^79+389x^80+506x^81+600x^82+590x^83+714x^84+742x^85+779x^86+860x^87+752x^88+840x^89+928x^90+942x^91+824x^92+796x^93+842x^94+694x^95+710x^96+650x^97+528x^98+410x^99+332x^100+270x^101+215x^102+184x^103+130x^104+84x^105+48x^106+26x^107+15x^108+20x^109+4x^110+2x^111+2x^112+1x^124

The gray image is a linear code over GF(2) with n=180, k=14 and d=76.
This code was found by Heurico 1.10 in 17.2 seconds.