The generator matrix

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

generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+132x^57+68x^58+138x^59+36x^60+114x^61+62x^62+136x^63+23x^64+120x^65+51x^66+106x^67+4x^68+18x^69+10x^70+4x^71+1x^114

The gray image is a linear code over GF(2) with n=248, k=10 and d=114.
This code was found by Heurico 1.16 in 56.5 seconds.