The generator matrix

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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+184x^90+16x^91+274x^92+76x^93+369x^94+112x^95+377x^96+196x^97+448x^98+232x^99+399x^100+180x^101+331x^102+128x^103+249x^104+60x^105+142x^106+24x^107+114x^108+89x^110+42x^112+26x^114+13x^116+11x^118+2x^120+1x^152

The gray image is a linear code over GF(2) with n=396, k=12 and d=180.
This code was found by Heurico 1.16 in 7.64 seconds.