The generator matrix

1 0 0 0 0 1 1 1 0 0 X 1 1 1 0 1 0 1 1 1 1 X X 1 0 1 X 1 0 1 1 X X 0 X X 1 X 0 1 X X X X 1 1 1 0 X 1 1 1 X 1 1 1 X X 0 1 1 X 1 1 1 1 X 0 1 0 0 1 1 0 X 1 1 0 1 1 1 0 X 1 1 X 0 0 1 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 X+1 X+1 1 1 1 1 1 1 X+1 1 1 1 0 X+1 0 1 X X X X 0 X 1 1 1 X X X 0 X 1 1 X+1 1 X+1 0 X 0 X 1 1 X 1 X+1 1 X 0 1 X+1 X X X+1 0 1 X+1 X 1 1 X+1 X 1 1 X+1 1 0 1 1 1 1 1 1 1 1 1
0 0 1 0 0 0 1 1 1 X 1 1 0 1 1 0 1 0 X+1 X X+1 X X+1 X 1 X+1 X X+1 0 X+1 0 1 X+1 0 X 1 0 1 1 1 0 X+1 1 X X+1 X X+1 X+1 0 X X 0 X 0 X+1 0 1 0 1 1 1 X+1 X+1 1 1 X+1 1 1 X+1 X X+1 1 X+1 X X+1 1 1 1 X 0 X+1 X 1 X+1 0 X+1 X+1 X X+1 1 0
0 0 0 1 0 1 X X+1 1 1 0 0 X 1 X+1 X+1 X X+1 1 0 X 1 X+1 1 1 X X 1 1 0 X X+1 X 1 0 X+1 X+1 X X+1 X+1 0 0 X 1 X X X+1 X+1 X X+1 X+1 0 1 0 X+1 1 0 X X+1 1 1 X 0 X+1 X 1 1 1 0 1 0 X+1 X 0 0 0 X+1 0 0 X+1 0 X 0 X 1 1 0 X+1 1 0 1
0 0 0 0 1 X 0 X X 1 1 X+1 1 1 1 X+1 X+1 1 0 1 X X 1 0 0 X+1 1 1 1 X 0 X+1 0 0 1 X X+1 1 X 0 0 X 0 0 X+1 X+1 0 1 X+1 X 1 X+1 X+1 X 0 0 X+1 1 1 X+1 1 X X 1 X 1 1 1 X 0 X 0 1 X 1 1 X+1 0 X+1 X 0 1 X 0 0 0 X+1 0 X+1 X+1 1

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+101x^84+196x^86+192x^88+154x^90+85x^92+68x^94+63x^96+42x^98+29x^100+32x^102+22x^104+10x^106+13x^108+8x^110+2x^112+2x^114+4x^116

The gray image is a linear code over GF(2) with n=182, k=10 and d=84.
This code was found by Heurico 1.10 in 0.094 seconds.