The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X 1 1 1 1 1 1 X 1 1 1 1 1 X X 1 1 1 X 1 1 1 X 1 1 1 0 1 1 X
0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 X X X X 0 X X 0 X X 0 X 0 0 0 X X 0 0 X X 0 X X X 0 0 X X 0 0 X X X 0 0 X 0 0 0 X X 0 0 X X 0 X X X 0 X 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 0 X X 0 X 0 X 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X X 0 0 0 X X X 0 X X X 0 X
0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 X X X X X X X X X 0 0 X X X X 0 X X X X X X 0 X X 0 0 0 X 0 X 0 X 0 X X
0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X 0 X X X 0 0 X 0 X X X X X X X 0 0 X 0 X X 0 X X 0 0 0 X X X 0 0 X X 0 X X 0 X 0 0 0 0 0 X X 0 0 0 0 X 0 X X 0 0 0
0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 X X 0 X 0 0 X X X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 X X X X X X 0 X 0 0 X X 0 X 0 X 0 0 X X X 0
0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 X X X X X 0 0 X 0 X 0 0 0 X X 0 X X X 0 X 0 X X 0 0 X X 0 X X 0 0 0 X X X 0 0 0 0 0 X X 0 X 0 0 X 0 X 0 0
0 0 0 0 0 0 0 X 0 X X X 0 X 0 X 0 0 X X X 0 0 X X X X 0 0 X 0 0 0 0 0 X 0 X X 0 X X 0 0 X 0 0 X 0 X X X 0 X 0 0 0 0 X X X X X 0 0 0 0 X X 0 X X X X
0 0 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X X X X X 0 0 X X X X 0 0 X X 0 X 0 0 X X X X 0 0 X X 0 X X X 0 0 X 0 X 0 X X 0 X 0
generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.
Homogenous weight enumerator: w(x)=1x^0+74x^64+4x^66+141x^68+64x^70+197x^72+120x^74+179x^76+64x^78+83x^80+4x^82+51x^84+27x^88+13x^92+1x^96+1x^128
The gray image is a linear code over GF(2) with n=148, k=10 and d=64.
This code was found by Heurico 1.16 in 0.349 seconds.