The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+156x^94+142x^95+178x^96+88x^97+124x^98+64x^99+81x^100+24x^101+40x^102+24x^103+22x^104+8x^105+6x^106+24x^107+9x^108+8x^109+5x^110+2x^111+8x^112+4x^114+4x^116+1x^118+1x^128

The gray image is a linear code over GF(2) with n=392, k=10 and d=188.
This code was found by Heurico 1.16 in 0.629 seconds.