The generator matrix
1 0 1 1 1 X 1 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 0 X 1 1 1 1 0 X 1 1 1 1 0 X 1 1 1 1 0 X X X 0 1 1 1 1 X X 0 0 X X X 0 1 1 1 1 0 X X X 0 1 1 1 1 1
0 1 X+1 X 1 1 0 X+1 1 X 1 1 0 X+1 1 X 1 1 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X 0 X X+1 1 0 X X 1 1 0 X X 0 X X+1 1 1 1 0 X X 0 X X+1 1 0
generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.
Homogenous weight enumerator: w(x)=1x^0+2x^74+8x^75+3x^76+1x^78+1x^82
The gray image is a linear code over GF(2) with n=142, k=4 and d=74.
This code was found by Heurico 1.16 in 0.0845 seconds.