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 X X X X X X X X X X 1 X X X X 1 1 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 0 X X 0 0 0 X X X 0 X 0 X 0 X 0 X 0 X X X X X X X X 0 X X 0 0
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 0 0 X 0 X 0 0 X 0 X X 0 X X 0 0 0 0 X X X 0 0 0 X X X X X X X 0 0 0 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 0 X 0 X X 0 0 X 0 0 X X X X 0 X 0 0 X 0 0 X X 0 0 0 0 X 0 X X X X X 0 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 X 0 0 0 X 0 0 0 X X 0 0 0 X X 0 X 0 0 X X X 0 0 0 X X 0 0 X 0 0 X 0 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 X X 0 0 0 X X 0 0 X X X 0 0 X X 0 X 0 0 0 X X X X 0 0 0 X 0 0 X 0 0 0
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 X 0 X 0 X X 0 0 0 X 0 X 0 0 X 0 0 0 0 X 0 X X 0 X 0 0 X X 0 X X X
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 0 0 X 0 X 0 X 0 0 X 0 X 0 X 0 X X 0 X X 0 0 X X 0 X 0 X X 0 0 0 0 X X 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 0 0 X X X 0 0 X X X X X 0 0 X X 0 X 0 X X 0 X 0 X 0 X X 0 X X 0 X 0 0 0
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 X 0 X X X 0 0 X X 0 X 0 X 0 X X 0 X X 0 0 X X X 0 0 0 0 X X 0 X 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 0 0 0 0 0 0 0 X X 0 X X 0 0 X 0 0 X X 0 0 0 X X 0 X X 0 X 0 X X 0 0 0
generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.
Homogenous weight enumerator: w(x)=1x^0+97x^48+290x^52+44x^54+453x^56+272x^58+689x^60+392x^62+755x^64+272x^66+429x^68+44x^70+223x^72+91x^76+38x^80+5x^84+1x^96
The gray image is a linear code over GF(2) with n=124, k=12 and d=48.
This code was found by Heurico 1.16 in 3.72 seconds.