The generator matrix

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

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+230x^94+250x^96+214x^98+120x^100+96x^102+69x^104+30x^106+6x^108+2x^110+4x^118+1x^132+1x^140

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 44.4 seconds.