The generator matrix

 1  0  0  0  1  1  1  1 X^2+X  1  1 X^2+X  1  0  X  1  1 X^2  1  1 X^2  1 X^2  1  1 X^2  0  1  1 X^2+X X^2+X  1  0 X^2+X X^2+X  0  1 X^2  1  0  1  1  1  X X^2  1  1 X^2  1  1  1 X^2+X X^2  0  1  1 X^2  1 X^2+X X^2  1  X  0  1  1  1  1 X^2  1  1  0 X^2+X  1  1  X  X  0  0  1 X^2+X X^2+X  1 X^2  1 X^2+X X^2  1 X^2+X  1  X  1 X^2  X X^2+X  1 X^2+X  1  1  1
 0  1  0  0  0 X^2  1 X^2+1  1 X^2+1  X  1 X+1 X^2+X  1 X^2 X^2+X+1  1 X+1  0  1 X^2+X X^2+X  1 X+1  1  X  0 X^2+X X^2+X  1  0  1  X X^2 X^2 X+1  1 X+1  1 X^2+X  0  1 X^2  1 X^2+X+1 X+1  1  X X^2+X+1 X+1  0  1  1 X^2+X X^2+1 X^2 X^2+X  1  1 X+1  1  1 X^2+X  X X^2+X X^2+X+1 X^2+X  X X+1  1 X^2  0  1  X  1  1  1 X+1 X^2+X  0  X  1 X^2+X+1  1  1  X  1  X  1 X+1  1  1  1  X X^2+X  X X^2+1  1
 0  0  1  0  0 X^2+1 X^2  1  1  1  1  0 X^2+X  1 X^2+1  X X+1 X^2+1 X^2 X^2  X X^2+1  X X^2+X  1 X^2+1  1 X+1 X^2+X+1  1  X X^2+X X^2+X+1 X^2  1  1  1  1 X^2+1  X  X X^2+X+1 X^2  1 X+1  0 X^2+X+1 X^2+1 X^2+1 X^2+1  0  1 X^2  X X^2+X X+1  0 X^2+1  1 X^2+X  0 X^2+X+1 X^2+X+1 X+1 X+1 X^2  X  0 X^2 X+1 X+1 X^2 X^2 X+1 X^2+X X+1  0 X^2+X  X  1  1 X^2+X+1 X^2+1  0  0  0 X+1 X^2+X  0 X^2 X^2 X^2+X+1  X  1  X  1  X  0 X^2+X
 0  0  0  1  1  1 X^2+1  X  1  1  0 X+1 X^2+X X+1 X^2 X+1 X^2+1 X^2+1  X  X X^2+X X^2+1  1 X^2+1 X^2+X  0 X^2+X X^2+X X+1 X^2+X+1 X^2+1  1 X+1  1  X  X X^2+X+1  X X^2  1 X^2+X  0  1  1 X^2+X  X  1 X^2+X+1 X+1 X^2 X^2  0 X+1  0 X^2+X  0  1  X  X X^2+X+1 X^2 X^2+1 X^2 X^2 X+1 X^2 X+1  1 X^2 X^2+X  0  1  1 X^2+X+1  1 X+1 X^2+1  1 X+1 X^2+X X^2  X X^2+X+1  X  0  X  1 X^2 X^2+X+1 X^2+1 X+1 X^2 X^2  0 X^2  0 X^2+X  0 X^2+1
 0  0  0  0  X  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2+X X^2+X  X  X  X  X  X  X X^2+X X^2+X X^2+X X^2+X X^2+X  X  X X^2+X  X  X X^2+X  X  X X^2+X  X X^2+X X^2+X  X X^2+X X^2  X  X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X  0 X^2+X X^2+X X^2 X^2+X  0 X^2+X  0 X^2+X  X X^2 X^2  0  X X^2 X^2+X X^2  X X^2+X X^2  X  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+278x^90+400x^91+746x^92+864x^93+1124x^94+1040x^95+1143x^96+1204x^97+1208x^98+1136x^99+1236x^100+948x^101+1066x^102+832x^103+818x^104+624x^105+478x^106+292x^107+380x^108+244x^109+136x^110+72x^111+54x^112+20x^113+20x^114+4x^115+6x^116+10x^118

The gray image is a linear code over GF(2) with n=396, k=14 and d=180.
This code was found by Heurico 1.13 in 8.7 seconds.