The generator matrix

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

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+12x^90+84x^91+176x^92+260x^93+238x^94+330x^95+321x^96+258x^97+304x^98+280x^99+277x^100+274x^101+310x^102+256x^103+221x^104+176x^105+135x^106+58x^107+21x^108+28x^109+22x^110+4x^111+3x^112+18x^113+1x^114+10x^115+1x^116+6x^117+1x^118+2x^119+4x^121+1x^126+2x^128+1x^132

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 2.15 seconds.