The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 1 1 0 X 1 1 1 1 1 X X 1 1 X 1 1 X 1 X 0 1 1 X X 1 X 0 0 0 1 1 X 1 X 1 0 X 0 0
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 1 X 0 X+1 1 X+1 0 1 0 1 X+1 0 X+1 1 1 1 X X X 0 0 1 1 0 X 1 0 0 1 0 1 X 1 X 1 1 X+1 1 1 1 0 1 X 1 1 1 X 0 X X 0
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 X X X 0 X 0 X 0 0 0 X X X 0 X 0 X X X X X X 0 X X
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X X X 0 X X 0 0 0 X X X 0 X X 0 X X X X 0 0 X 0 X X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0
0 0 0 0 X 0 0 0 0 0 X X X X X X 0 X X X 0 X X X 0 X 0 X X 0 X X X 0 0 0 X X X X 0 X 0 0 X 0 0 0 X X X 0 0 X 0 X X X X X 0 0 0 0 0 X X 0 0 0
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 X 0 X X 0 0 0 X X X 0 X 0 0 0 X X 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 0 0 X X 0 0 X X 0 0
0 0 0 0 0 0 X 0 X X 0 0 X X X 0 0 0 X 0 X X X X 0 0 0 0 X X X 0 X X 0 0 0 0 X X 0 X X 0 X X X 0 0 0 0 X X X 0 X 0 0 X X X X X 0 0 0 0 0 X 0
0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X X 0 X X X 0 0 X X X X 0 X 0 0 X 0 X X 0 0 X X X 0 X X X X X X X 0 X X 0 X X 0 0 X 0 X 0 X 0 X X 0
generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.
Homogenous weight enumerator: w(x)=1x^0+86x^62+141x^64+138x^66+126x^68+128x^70+113x^72+75x^74+78x^76+67x^78+45x^80+8x^82+2x^84+6x^86+3x^88+3x^90+2x^92+1x^94+1x^96
The gray image is a linear code over GF(2) with n=140, k=10 and d=62.
This code was found by Heurico 1.16 in 0.277 seconds.