The generator matrix

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

generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+40x^92+92x^93+160x^94+138x^95+103x^96+122x^97+62x^98+74x^99+73x^100+50x^101+41x^102+18x^103+12x^104+6x^105+5x^106+10x^107+4x^108+1x^110+4x^112+2x^116+2x^117+2x^118+1x^130+1x^132

The gray image is a linear code over GF(2) with n=388, k=10 and d=184.
This code was found by Heurico 1.16 in 0.619 seconds.