The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+83x^68+192x^70+202x^72+108x^74+144x^76+78x^78+71x^80+24x^82+51x^84+28x^86+12x^88+12x^90+10x^92+6x^94+2x^96

The gray image is a linear code over GF(2) with n=150, k=10 and d=68.
This code was found by Heurico 1.16 in 0.248 seconds.