The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+181x^68+280x^70+289x^72+302x^74+243x^76+166x^78+163x^80+104x^82+127x^84+68x^86+67x^88+34x^90+17x^92+6x^94

The gray image is a linear code over GF(2) with n=152, k=11 and d=68.
This code was found by Heurico 1.10 in 0.438 seconds.