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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+223x^80+12x^81+532x^82+56x^83+834x^84+180x^85+996x^86+380x^87+1319x^88+628x^89+1514x^90+748x^91+1604x^92+852x^93+1544x^94+676x^95+1361x^96+304x^97+906x^98+172x^99+598x^100+72x^101+382x^102+16x^103+261x^104+112x^106+55x^108+30x^110+11x^112+4x^116+1x^124

The gray image is a linear code over GF(2) with n=368, k=14 and d=160.
This code was found by Heurico 1.16 in 43.1 seconds.