The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+36x^93+87x^94+72x^95+167x^96+168x^97+28x^98+144x^99+140x^100+40x^101+72x^102+40x^103+8x^104+8x^105+4x^106+4x^108+4x^109+1x^190

The gray image is a linear code over GF(2) with n=392, k=10 and d=186.
This code was found by Heurico 1.16 in 93.5 seconds.