The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 X 1 1 X 1 1 X 1 X 1 1 1 1 1 X 1 1 X 1 1 X 0 1 1 X 1 X 1 0 1 1
0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 0 0 X X X X 0 X X 0 X X 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X X 0 X X X X X 0 X X 0 X X 0 X X X 0 X 0 0 X X 0
0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X 0 0 X 0 X 0 0 0 X X X 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 X X X X 0 X X X X 0 X 0 X X 0 X X
0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 X X X 0 0 X X X 0 X 0 X 0 0 0 X 0 X X 0 0 X 0 0 X 0 X 0 0 X X X 0 0 0 0 X X 0 0 X X X 0 X 0 X X X X 0 0 0 X X X 0 X X X 0 X X X X X X 0
0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 X X 0 X X X X X X 0 X 0 X X X 0 0 X 0 0 0 0 X X 0 0 X X X 0 0 X 0 0 0 X X 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 X X X 0 0 X X 0 X 0 X 0 0 0
0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 X 0 X 0 0 0 X 0 X X X X X X X 0 0 X X 0 X X 0 0 0 X X X X X X X 0 X X X X X X X X X 0 X X 0 0 X X X X X 0 X 0 X 0 X 0 X 0 0 X 0 0 X X
0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X 0 0 X X 0 X X 0 0 X X X 0 0 0 X X X 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 X 0 0 0 X X 0 X X X X X 0 X 0 X X 0 X 0 0 X 0 0 X X X X X 0 0 X 0
0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 X 0 0 X X X X X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X X 0 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 X 0 X X X X X 0 0 X X 0 0 X X 0 0 0 X 0 X
0 0 0 0 0 0 0 0 X X X 0 X 0 0 0 0 X X X X 0 0 X X 0 0 0 X X 0 X 0 0 0 0 X X 0 0 X 0 X X X 0 X 0 X 0 0 X 0 X X 0 X 0 X X 0 0 X X 0 0 X 0 0 0 0 X X 0 0 0 X X X 0 0 0 X X
generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.
Homogenous weight enumerator: w(x)=1x^0+46x^74+82x^76+98x^78+118x^80+139x^82+146x^84+113x^86+96x^88+54x^90+31x^92+36x^94+22x^96+15x^98+12x^100+9x^102+2x^104+2x^106+1x^112+1x^140
The gray image is a linear code over GF(2) with n=168, k=10 and d=74.
This code was found by Heurico 1.16 in 45.7 seconds.