The generator matrix

 1  0  0  1  1  1  0  1  1 X^2  1  1  X  X X^2+X  1  1 X^2  1  1 X^2  1 X^2+X  X  1  1 X^2+X  1  1  1  0 X^2 X^2  1  1  1  X  1  1  1 X^2  1  X  0 X^2+X  1  1  1  1 X^2  0  X  1 X^2+X  1  1 X^2  1 X^2  1 X^2+X X^2+X  1  0  X  1  0 X^2  1  1  1 X^2  1  1  1  0  0  1  1  1  1 X^2+X X^2+X  0  1  X  1  0  1 X^2  1  X  1  1  1  1 X^2+X  X
 0  1  0  0  1  1  1 X^2  1  1 X+1  X X^2+X  1  1 X^2+X X^2+X+1  1 X+1 X^2+X  X  X  1  1  1  0  0 X^2+X+1 X^2 X+1  1 X^2+X  1 X^2+1  0 X^2+X+1  1 X^2 X^2+1  1  1  0 X^2+X  1  X X^2+X+1 X^2+X  0  0  1  0  1  X  1  0 X^2+X+1  1 X^2 X^2+X X^2+1  1  1 X^2+X  0  X  1  1  1  0  0 X^2+X+1 X^2 X+1 X+1 X^2  X X^2 X^2+X X^2+1 X^2+1  X  1 X^2+X  X X+1  1 X^2+X  X X+1  1 X^2  1  1 X^2+X X+1 X^2  1 X^2
 0  0  1 X+1 X^2+X+1  0 X+1  X  1  X  0  1  1 X+1  0  X  X X^2+1 X^2+X+1 X+1  1 X^2  X X^2+1 X^2+X X^2+X+1  1  1 X^2+1 X+1 X^2+1  1 X^2+X X^2+X X^2+1  X X^2+X X^2 X^2 X^2+X+1 X+1 X^2  1 X^2  1  1  1  1  X X^2+1  1  X X^2 X^2+1  1  0 X+1  1  1 X^2 X^2+1  X X^2+X+1  1  1 X+1 X^2 X^2+X+1 X^2+X  X  X  1 X+1 X^2+X+1  1  1  1 X^2  X X^2+1  X X+1  1  1  1 X^2+X X+1  1  X  X X^2 X^2+1 X^2+X+1  X  1 X^2+X+1 X^2+X+1  1
 0  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0
 0  0  0  0 X^2  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  0  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0 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  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 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  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2  0 X^2
 0  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 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  0  0 X^2 X^2  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+327x^90+935x^92+1248x^94+1242x^96+1331x^98+1014x^100+770x^102+597x^104+341x^106+249x^108+66x^110+47x^112+7x^114+10x^116+4x^118+1x^120+2x^122

The gray image is a linear code over GF(2) with n=392, k=13 and d=180.
This code was found by Heurico 1.16 in 74.8 seconds.