The generator matrix
1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 1 0 1 X 1 X 1 1 1 0 X 1 1 0 1 1 1 1 0 X 1 X 1 1 X 1 1 1 0 1 1 X 1 1 1 1 0 1 1 0 0 0 1 1 1 0 X X 0 1 1 X X 0 X X
0 1 0 1 0 1 1 0 0 1 X+1 1 1 X 0 X 0 X+1 1 X+1 1 1 0 1 X 1 0 X+1 1 X 0 1 X 1 1 X X X+1 X 0 X 1 1 1 X+1 X 0 X+1 1 0 X X 1 0 1 1 1 1 X X+1 0 1 1 1 1 0 1 1 1 1 1
0 0 1 1 1 0 1 0 1 X+1 X X 1 0 1 1 1 X+1 X X 1 X+1 X X+1 1 X+1 X+1 0 X+1 X+1 X 0 0 0 X+1 X+1 1 0 0 1 0 X+1 X+1 X+1 X 0 1 0 0 1 0 1 X X 0 X+1 X+1 X+1 X 1 1 1 X+1 0 0 1 1 0 0 1 1
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 X 0 X X X X 0 X X 0 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X 0 X X 0 X 0 0 X X X 0 0 X 0 0 0 0
0 0 0 0 X 0 0 0 0 0 0 X X X X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X X 0 X 0 0 X X 0 0 X 0 0 0 X 0 X 0 0 X X X X X 0 0 X X 0 X 0 X X X X X 0 X 0
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0 X X 0 0 X 0 X 0 X X 0 0 X X X 0 0 X X 0 X 0 X X X 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 X 0 0 X X 0 0 X 0 X X 0 X X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X 0 X 0 0 0 0 X 0 X 0 0 X X
0 0 0 0 0 0 0 X 0 X X 0 0 0 X X X X 0 X 0 0 X X X 0 0 X 0 0 X 0 X 0 X X X 0 X 0 0 X 0 X X 0 0 X X X 0 X X 0 X X X X X X X 0 X 0 X X 0 0 0 X X
0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 X X 0 X 0 0 0 X 0 X 0 0 X X 0 X X 0 X 0 0 X 0 0 X 0 X 0 X 0 0 0 X X X X X 0 X 0 0 0 0 X X X 0 0 0 0
generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.
Homogenous weight enumerator: w(x)=1x^0+94x^60+251x^62+338x^64+439x^66+486x^68+481x^70+532x^72+432x^74+383x^76+294x^78+159x^80+115x^82+40x^84+29x^86+10x^88+6x^90+5x^92+1x^94
The gray image is a linear code over GF(2) with n=142, k=12 and d=60.
This code was found by Heurico 1.16 in 2.99 seconds.