The generator matrix

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

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+322x^58+748x^60+1166x^62+1393x^64+1688x^66+1883x^68+1914x^70+1942x^72+1806x^74+1486x^76+982x^78+630x^80+296x^82+99x^84+18x^86+9x^88+1x^120

The gray image is a linear code over GF(2) with n=140, k=14 and d=58.
This code was found by Heurico 1.10 in 183 seconds.