The generator matrix
1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 1 0 X 1 X 1 1 0 1 1 1 0 1 X X 0 0 1 1 1 1 1 1 0 1 X 1 X 1 1 X 1 1 X X 1 1 1 X 1 1 1 0 1 1 X 1 1 1 1 0 1 1 X 1 0 1 1 1 1
0 1 0 0 1 1 1 0 0 1 X+1 1 1 X 0 X 0 1 X+1 1 X+1 X+1 1 X 0 1 1 X+1 1 0 1 X X+1 0 X 0 X 1 X X 1 X+1 X 1 X 0 X+1 X 1 1 X+1 X+1 X+1 1 X X 0 0 1 0 X 0 X X X+1 X X 1 0 X 1 X+1 0 X X
0 0 1 1 1 0 1 0 1 X+1 0 X X+1 X 1 1 1 X X+1 1 0 0 0 X+1 X 1 0 X X+1 1 0 1 X 0 X+1 0 1 0 1 X+1 X+1 X+1 1 X+1 X+1 1 0 X 1 1 X 1 1 1 X X+1 X 1 0 X 1 X 1 X+1 X 1 0 X+1 1 0 0 X+1 X+1 X+1 X+1
0 0 0 X 0 0 0 0 0 X X 0 0 X X 0 0 0 0 X 0 X 0 X X X 0 X X X X 0 X 0 X X 0 0 X X X 0 X 0 X 0 0 0 0 X X X 0 0 0 X 0 0 0 X 0 0 X X X 0 X 0 0 X X 0 0 0 X
0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 0 X X X X X 0 X X 0 X X 0 0 0 X X 0 X 0 X 0 0 X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 0
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X X X X X 0 X X 0 X 0 0 0 X 0 X X 0 X 0 0 0 X X X 0 0 X X 0 X X 0 0 X X X X X 0 X X X X X 0 0 0 X X 0 X X 0 0 0 X X X
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X X X X 0 X X X 0 X 0 X X X 0 X X X X X 0 0 0 0 X X X 0 X X 0 0 X 0 X 0 X X 0 0 X X X 0 X X 0 0 X X X 0 0 X X X
0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 X 0 X 0 X X X X 0 0 X 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X X X 0 0 0 0 0 X X X X 0 X 0 0 0 0 X X 0 X X X X X X
0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 0 0 X X 0 X 0 0 0 X X 0 0 X 0 X X 0 X X 0 X 0 X 0 0 X X 0 X 0 X 0 X X X 0 0 0 X 0 X 0 X 0 X 0 X X 0 0 0 X 0 0 0 0 0
generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.
Homogenous weight enumerator: w(x)=1x^0+114x^64+220x^66+438x^68+412x^70+515x^72+402x^74+493x^76+396x^78+403x^80+260x^82+219x^84+88x^86+97x^88+14x^90+15x^92+6x^96+3x^100
The gray image is a linear code over GF(2) with n=150, k=12 and d=64.
This code was found by Heurico 1.16 in 3.23 seconds.