The generator matrix
1 0 0 0 1 1 1 X X X 0 1 1 1 1 1 1 0 X 0 1 0 1 1 X 1 X 1 X 1 X 1 0 0 X 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 X 0 0 1 1 1 1 X 1 1 X X X 1 1 0 1 1 1 0 X 0 X 1 X 0 0 1 0 X 1
0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 0 X X 1 1 0 X+1 0 1 0 1 X+1 1 X+1 X 1 X 1 0 1 1 0 1 X 1 X X+1 X+1 X 1 X X X 0 X+1 1 1 X 1 0 X+1 0 1 0 0 X 0 X X+1 0 1 X 1 1 1 X 0 X X 0 0 0 X+1 1 1 X+1
0 0 1 0 0 1 X+1 1 X X+1 1 1 X+1 0 X 0 0 X 1 X+1 0 1 1 1 1 1 X X 0 X+1 1 X 1 0 0 X+1 0 0 1 0 1 X+1 X X+1 1 0 1 X 0 X 1 0 X 1 0 0 1 X+1 X+1 X X 1 1 1 1 1 X+1 X X X 0 1 1 1 X 1 1 0 X+1 X+1 1 0
0 0 0 1 1 1 0 1 X+1 1 X X X+1 1 0 0 X+1 1 X+1 X+1 1 X 0 X 0 1 0 X 1 X+1 0 1 X+1 X 1 0 1 X X 1 1 1 X 1 X 1 0 1 1 1 1 0 1 1 X+1 X 1 X+1 X+1 1 1 X+1 X+1 0 1 X 1 X+1 1 X X X+1 0 1 1 0 0 1 X X X+1 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 X X X X X X X X X X X X X X 0 X X 0 0 X X X 0 X X 0 X 0 X X X 0 0 X X X X 0 0 X 0 X 0 0 X 0 X 0 X 0 X X 0 X X X 0
0 0 0 0 0 X X 0 0 0 0 X X X X X X X X X 0 X 0 0 0 X 0 X 0 X 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X 0 X 0 X X 0 X X 0 X 0 X X X X X X 0 X X X 0 X
generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.
Homogenous weight enumerator: w(x)=1x^0+284x^76+317x^80+214x^84+100x^88+56x^92+32x^96+14x^100+6x^104
The gray image is a linear code over GF(2) with n=164, k=10 and d=76.
This code was found by Heurico 1.16 in 16.2 seconds.