The generator matrix

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

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+289x^68+102x^70+420x^72+154x^74+329x^76+110x^78+236x^80+78x^82+161x^84+52x^86+70x^88+16x^90+29x^92+1x^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 63.8 seconds.