The generator matrix

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

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+92x^72+196x^74+174x^76+150x^78+110x^80+86x^82+56x^84+38x^86+47x^88+20x^90+22x^92+16x^94+9x^96+6x^98+1x^104

The gray image is a linear code over GF(2) with n=158, k=10 and d=72.
This code was found by Heurico 1.10 in 0.078 seconds.