The generator matrix
1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 1 X 0 X X 0 0 1 1 1 1 1 X 1 1 1 0 0 X X X 1 X 0 1 1 X 1 X X 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 0 1 0 0 0 1 X 1 1 1 1 X 1 0 0 0 1
0 1 0 0 1 1 1 0 0 1 X+1 1 1 0 X X+1 X X+1 1 0 1 0 1 1 X+1 X 0 1 1 1 X+1 0 X 1 1 1 1 1 X+1 X 1 X X 1 1 0 1 X X+1 0 1 1 1 X X+1 1 1 0 X+1 X X+1 0 1 0 1 1 1 1 0 X 1 0 1 X 0 X X+1 0 1 0 0 1 1 1 0
0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 1 X+1 0 X X 1 X+1 1 0 X+1 X X+1 0 X+1 0 X+1 X+1 0 X+1 X+1 X 0 1 1 X+1 1 1 X+1 X 1 X+1 1 X 0 0 1 X 0 X+1 X+1 X+1 X 0 X 0 1 X X+1 X 0 0 1 0 X+1 1 X+1 0 1 X+1 X+1 1 X+1 0 1 X 1 0 0 0 X X
0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 0 X X 0 X 0 0 X 0 0 0 0 X X X X X X 0 0 0 X X X 0 X 0 X X 0 0 0 X X 0 X 0 X 0 X 0 X X X 0 0 X 0 X 0 0 0 X 0 0
0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X X X X X 0 X 0 X X 0 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 0 X X X X 0 X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 X X X 0 X 0 X X
0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X 0 X X X X 0 X X X 0 0 0 0 0 0 X 0 X X X 0 X X X 0 X 0 0 X 0 0 0 0 X X X 0 X 0 X X 0 X X 0 0 0 X X X X 0 X X X X 0 X 0 X 0 X 0 X X X X X
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 X 0 0 X X X X X X X X X 0 X X X X X X X 0 X X 0 X X X 0 X X 0 X 0 0 X X X X 0 0 X 0 0 X 0
0 0 0 0 0 0 0 X 0 0 0 X X X X X X X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 X X X X 0 0 0 0 X 0 X 0 0 0 0 0 X 0 0 X X X 0 X X X X X X X X 0 0 0 X 0 X X X X X X X 0 0 X 0 0 X 0 0 X 0
0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 0 0 X 0 X X X X 0 X 0 0 0 X 0 X X 0 X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 X X 0 X X X X 0 0 X X X X X X X X 0 X 0 0 X 0 0 X 0 0 X X 0 0 0 0 0 X 0
generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.
Homogenous weight enumerator: w(x)=1x^0+116x^74+295x^76+397x^78+433x^80+469x^82+455x^84+435x^86+387x^88+330x^90+307x^92+182x^94+134x^96+85x^98+29x^100+23x^102+5x^104+8x^106+2x^108+3x^110
The gray image is a linear code over GF(2) with n=170, k=12 and d=74.
This code was found by Heurico 1.16 in 5.06 seconds.