The generator matrix

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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+310x^76+620x^80+456x^84+294x^88+199x^92+111x^96+50x^100+6x^104+1x^108

The gray image is a linear code over GF(2) with n=168, k=11 and d=76.
This code was found by Heurico 1.10 in 25.8 seconds.