The generator matrix
1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 X 1 0 1 1 1 X 0 0 X 1 1 0 1 1 1 X X X 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 X 1 X X 1 1 X 1 0 X 1 0 0 X X 1 X X 1 0 1 0 X 0 1 1 0 1 1 X 1 X
0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 1 X+1 0 0 X X 1 1 1 1 X+1 1 1 1 1 X X 1 X 1 X+1 X X 1 1 X 0 X+1 0 X 0 X 0 1 1 0 X+1 1 1 1 X 1 1 1 1 X+1 0 X 0 1 0 1 1 X 0 X+1 1 X X 0 X 1 0 1 1 1 0
0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 1 1 X 0 X X 0 1 X 1 0 X 0 1 0 X+1 1 1 1 X+1 1 1 X X 0 X X+1 1 1 X 1 X X 0 X+1 1 X+1 1 1 0 1 1 X X+1 0 X X 1 X X+1 1 1 0 X+1 1 1 0 1 X X X+1 X 0 1 0 1 1
0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 1 1 1 X X+1 1 0 0 1 0 1 0 0 X+1 X X 0 1 1 1 0 0 1 0 X+1 X+1 X+1 0 0 X 0 X+1 0 X X X X X X X+1 X+1 1 X+1 1 X X 1 0 1 X+1 0 X 1 0 0 X+1 0 1 1 X 1 X+1 1 X 0 1 X+1
0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 1 1 X 1 X+1 X X 1 0 0 X 0 X+1 X+1 0 X+1 0 1 1 X X X+1 X+1 X+1 0 0 X+1 1 X+1 0 X+1 1 X 1 1 X 1 1 1 X+1 1 0 X+1 X X+1 X+1 0 X X 0 0 1 1 X+1 1 1 1 X 1 1 1 X 1 X+1 1 X+1 0 1
0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X 0 0 0 X X 0 0 X X 0 X 0 X X 0 0 X X X 0 0 0 X 0 0 X X X 0 0 X X X 0 X X 0 X X X X X X X X 0 X X X 0 0 0 0 X X 0 0 X 0 0 X X X X X 0 X
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 0 X X X X 0 X 0 X X 0 0 0 X 0 X X X X 0 X X 0 0 0 X 0 X 0 X X 0 X X X X 0 X X 0 0 0 X 0 X X 0 0 X X X X X 0 0 0 X X 0 X X X X 0 X X
0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X X X X X X X X X 0 X X 0 X X X X 0 X X X 0 X 0 X 0 X 0 0 0
generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.
Homogenous weight enumerator: w(x)=1x^0+240x^82+500x^84+700x^86+749x^88+806x^90+854x^92+810x^94+797x^96+711x^98+620x^100+481x^102+411x^104+277x^106+146x^108+64x^110+16x^112+5x^114+1x^118+2x^120+1x^122
The gray image is a linear code over GF(2) with n=188, k=13 and d=82.
This code was found by Heurico 1.16 in 72.9 seconds.