The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  1  1  X  X  1  1  1  1  X  1  1  0  1  1  X  1  X  0  1  0  1  1  1  1  0  1  X  0  1  0  1  0  1  0  1  1  1  1  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  0  X  X  0  0  X  0  0  X  X  0  X  X  X  X  0  X  X  0  0  X  X  0  X  0  X  0  0  0  X  X  X  0  X  0  X  0  0  0  X  X  0  0  X  X  0  0  X  0  X  X  X  X  0  0  0  X  X  0  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  0  X  0  0  X  0  X  X  X  X  0  0  0  0  X  0  X  0  X  0  0  0  X  0  X  0  0  0  X  X  X  0  X  X  X  X  0  0  X  X  0  0  0  0  0  X  X  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  X  0  0  X  X  X  X  X  X  0  X  0  X  X  0  X  0  0  0  0  0  0  0  0  0  0  X  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  0  X  X  0  X  0  0  X  0  X  X  0  X  X  0  0  0  X  X  0  X  0  X  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  0  X  0  X  0  0  X  0  X  0  0  0  0  0  X  X  0  0  X  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  X  X  X  X  0  X  0  0  X  0  X  0  0  X  0  0  X  0  X  X  X  X  X  0  X  X  X  X  0  0  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  X  0  0  0  X  0  0  0  X  X  0  X  X  0  X  X  X  X  0  X  0  X  0  0  0  X  X  0  0  0  X  0  X  0  X  X  0  0  X  0  0  X  0  X  0  X  X  X  0  X  0  0  X  X  0  0  0  X  X  0  0  X  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  0  0  X  X  0  X  0  X  0  0  X  0  0  X  X  0  X  X  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  0  X  X  X  0  X  0  0  0  0  X  X  X  X  X  0  X  X  X  X  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  X  X  X  0  X  0  X  X  X  0  X  X  0  X  0  0  X  0  X  X  0  0  X  X  X  X  X  X  0  X  X  X  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  0  0  0  X  0  X  X  0  0  0  0  X  0  0  0  0  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  0  0  X  X  0  0  X  X  0  X  0  X  0  0  X  0  0  X  X  X  0  0  0  0  X  X  0  0  0  X  0  X  0  X  X  X  X  X  X  X  0  X  X  0  0  X  X  X  0  X  0  0  X  0  0  X  0  X  0  X  0  X  0  X  0  0  X  0  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  X  X  X  X  0  X  0  X  X  X  0  X  0  X  0  X  0  0  X  X  0  X  0  0  0  X  0  X  0  0  0  0  0  0  0  X  0  0  X  0  X  0  X  X  0  0  0  X  X  X  X  0  X  X  0  X  X  0  0  X  0  0  0  X  0  0  0  0  0

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+60x^76+197x^80+28x^82+285x^84+104x^86+336x^88+160x^90+251x^92+152x^94+174x^96+68x^98+99x^100+75x^104+36x^108+16x^112+4x^116+1x^120+1x^140

The gray image is a linear code over GF(2) with n=180, k=11 and d=76.
This code was found by Heurico 1.16 in 1.61 seconds.