The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+209x^72+292x^74+295x^76+220x^78+250x^80+154x^82+192x^84+128x^86+129x^88+56x^90+55x^92+36x^94+19x^96+10x^98+2x^100

The gray image is a linear code over GF(2) with n=160, k=11 and d=72.
This code was found by Heurico 1.16 in 6.99 seconds.