The generator matrix

 1  0  0  0  1  1  1  1  1  1  1 X^2  X  0  0  0 X^2  1  1 X^2  X  0  1  1  X  1  1  X  1  X  X  1  0 X^2+X  1  1  1  1 X^2+X  X  1  1  1 X^2  1 X^2+X X^2+X  1  1  1 X^2  0 X^2  1  1  0  0  0 X^2+X  1  0  X  1  1  1  1  1 X^2  1  1  1  X  1  1  1 X^2  1  1  1  X X^2 X^2+X X^2+X  1  X  0  X  1 X^2+X  1  1
 0  1  0  0  0  0  1 X^2+X+1  1  1 X^2+X  1  1 X^2+X  1  0  1  X X^2+1 X^2  1  1 X^2+X X^2+X  1 X^2+1 X^2+X+1  X X^2+1  1  X X^2+X+1  1 X^2 X^2 X^2+X+1 X^2  0  1  0 X^2+X  0 X^2+X+1  1 X^2+X X^2+X  1 X+1  1 X^2+1  1  1  0 X+1 X+1  0  1  1 X^2 X^2+1  1  1  1 X^2+X+1 X^2  0  0  1  X  X X^2+X X^2 X+1 X+1 X+1 X^2+X  X  0  1  1  1  1  1 X^2+X X^2 X^2  1 X^2+X+1 X^2 X^2+1  0
 0  0  1  0  0  1  0  1 X^2+1 X^2  1 X^2+X+1 X^2+1  1  0 X^2+X X+1 X^2+X  X  1  X X^2+1  X X+1  0 X+1 X^2  1  1 X^2+X  1  0  X X^2 X+1 X^2+X+1 X^2+X X^2+X+1  0  1 X^2 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X  0 X+1 X^2+1  X  X X^2  X  1 X^2+X X^2+X  1 X+1 X+1  1 X^2+X  X X^2+X+1 X^2+X X^2+1 X+1 X^2 X^2+1 X^2 X+1 X+1 X^2  X  0 X^2+1  0  1 X^2+1  0 X^2+1 X+1 X^2  X X^2+1  1 X^2 X^2+X  X  X  1  1  0
 0  0  0  1  1 X+1 X^2+X+1 X^2+1 X^2  X X^2+X X^2+1 X^2+X X+1  1  1 X^2+X X^2+1 X^2+1  1 X^2+1 X+1  0  X X^2+X  0 X^2+X X^2+X X^2+X+1 X^2+X  0 X+1  1  1 X^2+1  X X^2+X+1 X^2+1  1 X+1  0  0 X^2  X X^2+X+1  1 X+1 X+1  X  0 X^2+X+1 X^2+X X^2 X^2 X^2+1 X^2+X+1 X^2+X+1 X^2  1 X^2+X X^2+1 X^2  1  1 X^2+1 X^2+X X^2+1 X+1 X^2+X  0 X+1  1 X+1 X^2+X  1 X^2+1  1  X X^2+X X^2+X+1 X^2+X  0 X^2  0  1  1 X^2+1 X^2+X  0 X^2+X X^2
 0  0  0  0  X  X  X  X  0  0  0 X^2+X  0 X^2+X X^2+X  X X^2 X^2+X  X X^2+X  X  X  0 X^2 X^2  0 X^2 X^2 X^2+X X^2 X^2 X^2+X  X  X X^2+X X^2+X X^2  0 X^2  0 X^2+X  X  X X^2+X X^2  0  0  0 X^2+X  X  0 X^2+X  X  X  0 X^2 X^2  X X^2  0  0  X  0 X^2+X X^2  X  0 X^2 X^2+X X^2 X^2+X  0  0 X^2 X^2  X X^2 X^2+X  0  X X^2+X X^2  0  X X^2 X^2 X^2  X X^2 X^2 X^2
 0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  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+36x^80+316x^81+545x^82+806x^83+1317x^84+1452x^85+1754x^86+1708x^87+2470x^88+2172x^89+2642x^90+2478x^91+2783x^92+2250x^93+2349x^94+1938x^95+1736x^96+1138x^97+1009x^98+600x^99+442x^100+302x^101+220x^102+134x^103+69x^104+46x^105+22x^106+12x^107+10x^108+4x^109+1x^110+4x^111+2x^114

The gray image is a linear code over GF(2) with n=364, k=15 and d=160.
This code was found by Heurico 1.16 in 65.6 seconds.