The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  1  1  X X^2+X  0  1  X  X X^2  1  1  1  0  1  0  1 X^2+X  X X^2  1  1  1  0  1  1  1  1 X^2  1  0  1  X  1 X^2+X  1  1  1 X^2  1 X^2+X  1  1  0  1 X^2+X  X  1  X  1  1  0  X X^2  1 X^2  0  1  1  X X^2+X  1  1  1  1  1  0  1 X^2  0 X^2+X X^2 X^2+X X^2  1  1  1  1  1  0 X^2+X
 0  1  0  0  0  0  0  0 X^2  1  1 X^2+1  1  1  1  1 X^2+X X^2+X  1  X  X X^2+X+1  0  1 X^2  1  1  X  1 X^2+X  0 X^2+X+1 X^2 X^2 X^2 X+1 X^2+1 X^2+X+1  1  0  1 X^2+1  1  1 X^2+X X^2+X  0  X  1 X+1 X^2+X X^2 X+1  X X+1 X^2  X  0  1  1  0  1 X^2+X  1  1  1  1  0 X^2+1  0  1 X^2+X+1 X^2  X X+1  1  X  0  X  1  1 X^2+X  1  1  X  1  0  0 X^2+X+1  1  X
 0  0  1  0  0  0  1  1  1  1 X^2+1 X^2  X X^2+1 X^2+1 X^2 X^2  0 X^2+X+1  1  1 X+1  0  X  1 X^2+X  0  1 X+1  1 X^2+X  X X^2+X+1  0  X X^2 X+1  X X^2  0  0 X^2+X X+1 X^2+X  1 X^2+1 X^2+X+1 X^2+X X+1  X  X X^2 X+1  X  0  1  0 X^2+X  1 X^2+X+1 X^2+X X^2+1 X^2  X X^2+1  1 X^2+X+1 X^2 X^2  1 X^2+X X+1  X X^2+1 X^2+X+1 X^2+X  1 X^2+1  1  X X+1  0 X^2 X+1 X^2+1 X+1 X^2+1  X X^2+1 X^2+1  1
 0  0  0  1  0  1  1 X^2 X^2+1 X^2 X^2+1  1 X^2 X+1 X^2+X X+1 X+1  1 X^2  X  X X^2  0  X X^2+1  1  0 X^2+X+1 X^2+X+1 X^2+X  X X^2  1 X^2+X X^2+X+1 X+1 X+1  0  X X+1 X^2+X X+1 X^2+X X+1  1 X^2  X X^2+1 X+1  1  1  X X^2+X+1  1 X^2+X  X  1  0 X^2+X+1 X^2+X X^2+1 X^2+1  X X^2+X+1  1  0 X^2 X^2+1 X+1 X^2 X^2+X  X X^2+X  1 X+1 X^2+X X^2 X^2+X X^2+X X^2+1  0  0  X  0  0 X^2 X+1 X^2+1  1 X^2+X+1 X+1
 0  0  0  0  1  1 X^2 X^2+1 X^2+1  0  1  0 X+1 X^2 X^2+1 X^2+X+1  0 X^2+1  0 X^2+1 X^2 X^2+X+1 X+1  1 X+1 X^2  X X^2+X  1  X X^2+1  1 X^2+1  1  X  1 X^2+X  0 X^2+1 X^2+X+1  X X^2+1  X  0  1  X  1  1  0  0 X^2+X+1 X^2+X X^2+1 X^2 X^2+X  0  0 X+1 X^2+1 X^2+X X^2  1  1 X^2+X+1  0 X^2+X X+1  X X^2+1 X+1 X^2+X X+1 X^2+X+1 X^2+1  X X+1 X^2+X  1  X X+1 X^2+X  1  X  X X^2+X X^2+X+1 X^2+1 X^2+1  1 X^2+1  X
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+307x^80+620x^81+1272x^82+1552x^83+2432x^84+2696x^85+3580x^86+3468x^87+4528x^88+4348x^89+5470x^90+5020x^91+5278x^92+4792x^93+4544x^94+3836x^95+3606x^96+2320x^97+2096x^98+1352x^99+1112x^100+488x^101+372x^102+192x^103+128x^104+32x^105+54x^106+4x^107+8x^108+16x^110+6x^112+4x^114+2x^116

The gray image is a linear code over GF(2) with n=364, k=16 and d=160.
This code was found by Heurico 1.13 in 77 seconds.