The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+36x^81+140x^82+136x^83+319x^84+314x^85+606x^86+382x^87+790x^88+458x^89+774x^90+492x^91+770x^92+468x^93+718x^94+350x^95+541x^96+200x^97+260x^98+146x^99+104x^100+50x^101+38x^102+18x^103+22x^104+10x^105+16x^106+8x^107+6x^108+6x^110+2x^111+6x^112+1x^114+2x^115+1x^116+1x^130

The gray image is a linear code over GF(2) with n=364, k=13 and d=162.
This code was found by Heurico 1.16 in 6.62 seconds.