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

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+162x^90+16x^91+260x^92+116x^93+287x^94+284x^95+246x^96+372x^97+176x^98+500x^99+171x^100+364x^101+200x^102+260x^103+135x^104+92x^105+132x^106+28x^107+78x^108+16x^109+93x^110+45x^112+34x^114+19x^116+4x^118+4x^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 2.93 seconds.