The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+302x^90+144x^91+656x^92+336x^93+881x^94+312x^95+1038x^96+272x^97+892x^98+324x^99+784x^100+292x^101+576x^102+164x^103+433x^104+84x^105+340x^106+60x^107+132x^108+28x^109+59x^110+20x^111+21x^112+12x^113+16x^114+4x^116+2x^118+3x^120+2x^122+2x^126

The gray image is a linear code over GF(2) with n=392, k=13 and d=180.
This code was found by Heurico 1.16 in 20 seconds.