The generator matrix

 1  0  0  0  0  1  1  1  X  X  1  1  1  1  X  X  1  0  X  0  0  1  1  1  0  0  1  1  X  1  1  1  X  1  X  0  1  1  1  X  1  0  1  1  1  X  0  X  0  1  0  1  1  0  X  X  X  0  1  1  X  X  0  0  1  1  X  1  1  X  1  0  1  1  0  1
 0  1  0  0  0  0  0  X  X  1  1 X+1  1 X+1  1  1  0  1  1  X  1  1 X+1  1  X  1  X  1  0  0  X  1  1  1  0  1 X+1 X+1 X+1  0  0  1  X  X  X  X  0  1  1  X  X  0  X  1  1  1  0  1  0  0  1  1  1  1  1  1  0  0  1  0  X  X  0  X  1  0
 0  0  1  0  0  0  0  0  X  0  X  X  X  0  0  X  X X+1  1  1 X+1 X+1  1  1  1  1 X+1  1  1  1 X+1 X+1 X+1  X  1  1  1 X+1  X  X X+1  X  X  0  1  X  1  0 X+1  1  1  X  X  0  0  X  1  X  1  X  X X+1  1 X+1  X  X  1  0  1  1  0  X X+1  1  1  0
 0  0  0  1  0  1  X  1  1  1  1 X+1  0  X X+1  0  1  1  X  1  0 X+1  0 X+1  X X+1  X  X X+1 X+1  X  0  X  X  1  X  1 X+1  X  1 X+1  1  1  0  1  1  0  1 X+1  X  1  0  0  0 X+1  0 X+1  1  0  1  1  0 X+1  0 X+1  1  X  X X+1  0  1  1  X  X  1  0
 0  0  0  0  1  1  1  0  1  X  X  1  0 X+1 X+1 X+1 X+1  1  0  0 X+1  1  X  0  1  X  X  1  1 X+1 X+1 X+1  X X+1 X+1 X+1  1  0  0  1  X  X  0  0  X  X  0 X+1  X  0 X+1  X  1  0  1  X  X  X X+1  0 X+1 X+1  0  1  0  X X+1 X+1  X  0  X  1  X X+1  0  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  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  0  X  X  X  0  X  0  X  X  X  0  0  X  0  X  0  0  X  X  X  0  0  0  0  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+168x^68+296x^70+318x^72+268x^74+210x^76+194x^78+171x^80+121x^82+116x^84+71x^86+54x^88+35x^90+14x^92+7x^94+4x^96

The gray image is a linear code over GF(2) with n=152, k=11 and d=68.
This code was found by Heurico 1.16 in 0.739 seconds.