The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  X  X  0  1  0  1  1  1  1  1  1  1  0 X^2  X  X  0 X^2  X  X  1 X^2  1  1  1  1  1  1 X^2  1 X^2+X  1 X^2+X  X  1  0 X^2+X  1  1  1  1  X  0 X^2+X X^2  1  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1 X^2+X  1 X^2+X  X  1 X^2+X X^2+X+1 X+1 X^2+X X^2+X+1 X^2 X^2+1  1  1  1  1  1  1  1  X X^2 X^2  X X^2+1 X+1 X^2 X+1 X^2+X+1  1 X^2 X^2  1  1  1 X^2+X  1  1 X^2+X+1  1 X^2  X  1 X^2+X  1  X X^2  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1  1  0  1  1 X^2+X+1  X X^2+X X^2+1 X^2  0  1 X^2+1  X X^2+X X^2  X  0  1 X^2+X+1  1 X^2  1 X+1 X^2+X+1  0 X+1 X^2+X+1 X+1 X^2 X^2+X+1  1 X^2+X  0 X^2+X X^2+X+1 X^2+X+1  1 X^2+X  0 X^2+X X^2  1  1 X+1  1 X^2+1  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2

generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+98x^58+136x^59+201x^60+166x^61+97x^62+38x^63+60x^64+30x^65+41x^66+50x^67+44x^68+28x^69+19x^70+13x^72+1x^74+1x^76

The gray image is a linear code over GF(2) with n=248, k=10 and d=116.
This code was found by Heurico 1.11 in 0.094 seconds.