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 1 1 1 1 1 1 1 1 X X X X X X X X X X X 0 1 1 1 1 0 X 1 1 0 1 1 X 1
0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X X X X 0 X 0 X 0 0 0 X X 0 X X 0 X X X X 0 X X X 0 0 X 0 0 X X X X 0 0 X X X
0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X 0 X 0 0 0 X X X 0 0 0 X 0 0 0 X 0 0 X X 0 0 X X 0 0 X X 0 X 0 X 0 X 0 0 X 0 X 0 X X X X X 0
0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 X 0 0 X X 0 X 0 X X 0 0 0 X 0 X 0 0 X 0 X X X 0 0 0 X 0 X 0
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 X X 0 0 0 0 0 0 X X X X 0 X 0 0 X 0 X 0 X X 0 X X X X X X X 0 0 X 0 X 0
0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 X X 0 0 0 0 X 0 X X X 0 X X X X 0 0 X 0 0 0 X 0 0 X X X 0 X 0 X X 0 X 0 0 X
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 X X X X X X 0 0 0 0 X 0 0 X X X 0 X X X X X 0 0 0 0 X 0 0 0 0
0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X X X X 0 X 0 X X X 0 0 X 0 X X 0 X 0 X X X 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 0 X 0 0 X X X X 0 0 0 X
0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X X 0 X X X 0 X X X 0 X X 0 X 0 X 0 X X X X 0 X 0 0 X X 0 0 X X 0 X X 0 X 0 X X X 0 0 0 X
0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 X X X X 0 0 X X X 0 X X 0 X X 0 X 0 X X X X 0 X X X X X 0 X 0 0 0 0 0 X X 0 0 X
0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X 0 X X X X 0 X X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 X
generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.
Homogenous weight enumerator: w(x)=1x^0+131x^60+320x^64+52x^66+468x^68+280x^70+624x^72+376x^74+705x^76+256x^78+384x^80+52x^82+250x^84+8x^86+132x^88+44x^92+11x^96+1x^100+1x^116
The gray image is a linear code over GF(2) with n=148, k=12 and d=60.
This code was found by Heurico 1.16 in 5.06 seconds.