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

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+64x^93+72x^94+64x^95+31x^96+560x^98+31x^100+64x^101+72x^102+64x^103+1x^196

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 2.18 seconds.