The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+X  1  1  0  1  1  X X^2+X  1  1  0  1  1 X^2  1  1  1  1 X^2+X  0  1  1  X  1  1 X^2+X  1  1  1 X^2+X  1  1  0 X^2+X  1  1  1  X  X  1  X  1  0  1  1 X^2  0  0  1  1  1  1 X^2+X  1  1  1  1 X^2+X  1  1  1  1  1  1  1  1  0  1 X^2  0  1  1  1  1 X^2 X^2+X  1  1  1  1  1  1  1  1  1  1  1 X^2  1  1
 0  1  1  0 X^2+X+1  1 X^2 X^2+X+1  1  X  1  1  X X+1  1  1  1 X^2+X  1 X^2+1 X^2+X  1 X^2+X+1  0 X^2+1  X  1  1 X^2+X+1  X  1  X X^2+1  1 X^2+X+1 X^2 X^2  1 X^2+1  1  1  1 X^2+X X+1 X^2+1  1  1  X  1 X^2+1  1 X^2+1  X  1  1  1 X^2+X+1 X^2+X X+1 X^2  1 X^2+1 X^2+1 X^2+X X+1  1 X+1 X+1  X  X  0  X  1  1  1 X^2  1  1 X+1  1 X^2+1 X^2  1  1 X^2 X^2+X+1  0 X^2+X  0  1 X^2 X^2+1 X^2+1 X+1 X+1 X^2 X^2+1 X^2
 0  0  X  0 X^2+X  0  X X^2  X X^2  0 X^2+X  X X^2  0 X^2+X  X  X  0 X^2  0 X^2+X  X X^2+X X^2  X X^2+X  X  0  X  0  0  0 X^2  X X^2+X  0  0 X^2 X^2 X^2+X X^2+X  0 X^2  0 X^2+X  0 X^2+X X^2+X X^2+X X^2+X  X  0 X^2  X X^2  X  X  X X^2 X^2 X^2+X  0  0 X^2  X X^2  0 X^2+X  X X^2 X^2+X X^2+X X^2  0  X  X  0 X^2 X^2+X X^2+X X^2+X X^2+X X^2 X^2  0 X^2  0  X X^2+X X^2+X  X X^2 X^2+X  0 X^2 X^2+X  0
 0  0  0  X  0  0  0  X  X X^2+X X^2+X  X X^2  0 X^2+X X^2 X^2+X  X  X X^2  0 X^2 X^2+X X^2+X  X X^2  X X^2  X X^2+X  X X^2+X X^2  0 X^2  0  X X^2+X X^2 X^2+X  0 X^2  0  X  X X^2+X X^2 X^2+X  X X^2+X  0  X X^2 X^2  X  X  0 X^2+X  0  0 X^2+X X^2+X  0 X^2+X X^2+X  0 X^2  0 X^2  0  0  0 X^2 X^2  X X^2+X  X X^2+X X^2 X^2  0  0 X^2  0 X^2+X  0  X  X X^2 X^2  0  0  0  X  X  X  0  X
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  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 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0
 0  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0  0  0  0 X^2  0 X^2 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+109x^90+84x^91+321x^92+248x^93+380x^94+204x^95+369x^96+244x^97+362x^98+192x^99+334x^100+256x^101+304x^102+220x^103+195x^104+84x^105+87x^106+4x^107+24x^108+20x^110+17x^112+14x^114+16x^116+4x^118+1x^120+1x^132+1x^136

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.