The generator matrix

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

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+30x^73+127x^74+284x^75+450x^76+584x^77+735x^78+948x^79+1195x^80+1434x^81+1702x^82+1900x^83+2268x^84+2626x^85+2799x^86+3090x^87+3292x^88+3614x^89+3497x^90+3694x^91+3870x^92+3594x^93+3557x^94+3292x^95+3020x^96+2588x^97+2369x^98+1990x^99+1616x^100+1322x^101+1061x^102+886x^103+610x^104+476x^105+331x^106+250x^107+152x^108+98x^109+72x^110+40x^111+34x^112+18x^113+5x^114+10x^115+4x^116+1x^138

The gray image is a linear code over GF(2) with n=182, k=16 and d=73.
This code was found by Heurico 1.11 in 326 seconds.