The generator matrix

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

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+172x^90+448x^92+653x^94+589x^96+577x^98+574x^100+451x^102+342x^104+148x^106+56x^108+36x^110+31x^112+10x^114+4x^116+1x^120+1x^122+1x^124+1x^132

The gray image is a linear code over GF(2) with n=392, k=12 and d=180.
This code was found by Heurico 1.16 in 2.15 seconds.