The generator matrix

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

generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+85x^72+198x^74+211x^76+108x^78+113x^80+80x^82+68x^84+50x^86+30x^88+34x^90+20x^92+6x^94+11x^96+4x^98+5x^100

The gray image is a linear code over GF(2) with n=158, k=10 and d=72.
This code was found by Heurico 1.16 in 0.255 seconds.