The generator matrix
1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 1 X X 1 1 1 1 1 0 1 0 1 X 0 X 0 1 1 X 1 0 0 1 X 0 X X 1 X 1 X 0 1 X 1 1 0 1 1 1 X 0 X 1
0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 X+1 0 X 1 X+1 X 0 X 1 X+1 1 X 1 0 X 1 X+1 1 1 X 1 1 1 X 0 1 0 1 0 1 1 X X 0 1 0 1 X 0 1 1 1 1 1
0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 0 1 1 1 X+1 0 1 0 X 0 1 1 X 1 X X 0 0 X+1 X X 0 0 1 1 1 1 1 1 X 1 1 1 0 0 X+1 X+1 0 X 0 1 0 X X+1
0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 0 1 0 0 1 0 0 X+1 1 1 X X+1 1 X+1 1 X 1 1 X+1 1 0 X+1 X X X 1 X+1 X+1 1 X+1 X 1 X 0 X+1 X 0 X+1 1 X 1 1 0 0
0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 X+1 1 X 1 1 X X+1 1 X X 1 X X 1 0 1 X+1 0 X+1 X+1 1 1 0 1 X+1 1 0 0 X 0 0 1 X+1 X+1 1 0 0 1 0 0 0 X+1 X 1 0
0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X X 0 X X 0 0 X 0 X 0 0 X X 0 X 0 X 0 X 0 0 X 0 X 0 0 X X X X 0 0 X X 0 0 X X X X 0 X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 X X 0 0 X X 0 0 X X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 X 0 0 0 X X 0 X X 0 X 0 0 X X X
0 0 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 0 0 0 0 X X X X X X X X X X X X X X X 0 X X 0 X X X X 0 0 X 0 X X 0 X X X X 0 X X X
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+230x^60+488x^62+789x^64+796x^66+943x^68+900x^70+934x^72+954x^74+759x^76+590x^78+437x^80+206x^82+115x^84+30x^86+14x^88+4x^90+1x^92+1x^96
The gray image is a linear code over GF(2) with n=142, k=13 and d=60.
This code was found by Heurico 1.16 in 12.2 seconds.