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 X 0 X 0 X 0 X 0 X X X X X X X X^2 X X^2 X X^2 X X^2 X^2 X^2 X^2 X X^2 X 0 0
0 X 0 X^2+X 0 X^2+X 0 X 0 X^2+X 0 X 0 X^2+X 0 X X^2 X^2+X X^2 X X^2 X^2+X X^2 X X^2 X^2+X X^2 X X^2 X^2+X X^2 X X^2+X X X^2+X X X^2+X X X^2+X X 0 0 X^2 X^2 0 X^2 X X X X X X X 0 0 X 0 0 X^2 X^2 X^2 0
0 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0
0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0
0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2
generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 60.
Homogenous weight enumerator: w(x)=1x^0+126x^60+127x^64+2x^92
The gray image is a linear code over GF(2) with n=248, k=8 and d=120.
This code was found by Heurico 1.16 in 0.143 seconds.