The generator matrix

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

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+254x^90+264x^91+551x^92+360x^93+790x^94+568x^95+817x^96+488x^97+742x^98+388x^99+627x^100+332x^101+498x^102+328x^103+362x^104+192x^105+240x^106+108x^107+118x^108+36x^109+50x^110+8x^111+39x^112+16x^114+6x^116+2x^118+5x^120+2x^124

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 11.5 seconds.