The generator matrix

 1  0  0  0  1  1  1  0  1 X^2  1  1  X  0  1  X  1  1  0  1 X^2  1  1  1 X^2  1  0 X^2+X  1  1 X^2+X  0 X^2+X  1  1  X X^2+X  1  1 X^2+X  1  X  1 X^2  1 X^2+X X^2+X  1  0  0 X^2  1  1  1  1  X X^2+X  1 X^2  1  1  1  0 X^2+X  X  1  1  0  1  1  1  1  1  X X^2+X X^2  X  1 X^2  X  1  0  0  X  1  X X^2  0  0  1  X  1  1  1  1 X^2+X  1  1
 0  1  0  0  1 X^2  1  1 X^2+1  1 X^2 X^2  1  X X^2+X+1  1 X^2+X X+1  1 X^2+X+1  1  X X+1 X^2+X+1 X^2+X X^2  1 X^2+X  0 X+1  1  X  1 X^2  0  0  1 X+1 X+1 X^2 X^2  1 X^2+X+1  1 X^2 X^2+X  1 X^2+X+1  1  X  1  0 X^2+X X^2  X  1  1  X  X X^2+1 X+1  0  1  0  1  1  X  1 X^2+X+1  1 X^2+X X+1  0 X^2+X  1 X^2+X X^2  0  1  X  0 X^2+X  1  0 X^2  1  1  1  1  X  1 X^2+X+1  X X^2+X+1 X+1  1 X^2+X+1  0
 0  0  1  0  X  0 X^2+X  X  1  1 X^2+X+1  1  1  1 X+1 X^2+X X^2+X  1  0  X X+1  0  0 X^2+1  X X^2+1  1  1 X^2+X+1 X^2+1 X^2  1 X^2+1 X^2 X+1  1  X X^2+1 X^2+X X^2+X  X X^2+1 X^2  1  0  1 X^2+X+1  X  1  1  0  0 X^2+X+1 X^2+X X+1 X^2  X X^2  1  X X^2+X+1 X+1  0  0  0 X^2+1 X^2+1 X+1 X^2+X+1 X^2 X^2 X^2+1  1  0 X^2+X X^2+X  1 X^2+X X^2  1  X  1 X^2+X  1  0 X^2  1 X^2 X^2+X+1  1 X+1 X^2+X  0  1  X X^2+1 X+1  X
 0  0  0  1  X  1 X+1 X+1 X+1 X^2+X+1 X^2 X^2+1 X^2+X X^2+X+1 X^2+X  X  0  X X^2+X+1 X^2  0 X^2+1 X^2+1 X+1  1 X^2+X  1 X^2+X X^2+1 X^2  X X^2+1  1  X X^2+X+1  X X+1 X^2+1 X^2+X+1  1 X^2+1  0 X^2  1 X+1  1  1  X X^2  X X^2+1  0  0 X^2  1  0 X+1 X+1 X+1 X+1  1  X X^2+X  1 X^2+X+1  X X^2+X X^2 X+1 X^2+X  0 X+1  1  1  1  1  0  X X^2 X+1 X^2  0 X^2+X X^2  X  X X^2+X  0 X^2+X+1  0  0 X^2 X^2 X+1  1 X^2+X X^2  0
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0  0  0  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+113x^90+398x^91+469x^92+610x^93+542x^94+766x^95+564x^96+834x^97+477x^98+568x^99+489x^100+522x^101+342x^102+362x^103+266x^104+230x^105+155x^106+144x^107+79x^108+100x^109+58x^110+56x^111+17x^112+8x^113+7x^114+10x^115+3x^116+2x^118

The gray image is a linear code over GF(2) with n=392, k=13 and d=180.
This code was found by Heurico 1.11 in 2 seconds.