The generator matrix

 1  0  0  1  1  1  0  0  1  1 X^2  1  1  0  1  1 X^2  1  0  1  0  1  1 X^2  1  1 X^2+X X^2+X  X  1  X  1  X X^2+X  1 X^2 X^2  1  1 X^2+X  1  1  1  1  1 X^2+X  X  1  1 X^2+X  1  1 X^2  1  X  1  1  1  0  1  1  1
 0  1  0  0  1  1  1  0 X^2 X^2+1  1  0  1  1 X^2 X^2+1  1  X  1 X+1  X X^2 X^2+1  1 X^2+X  1 X^2+X  1  1  0  1 X^2+X+1  1  1  0  1 X^2+X X^2+X+1 X^2+X+1  1  X X^2+X X^2+X X^2 X^2+X+1  1  1 X^2+1 X+1  1  1 X+1  1 X^2 X^2+X X+1  X X^2 X^2 X^2+X+1  0  1
 0  0  1  1 X^2 X^2+1  1  1  0 X^2  0  1 X^2+1  1 X^2  0 X^2  1 X^2+X+1 X^2+1  1 X^2  0  X  1 X^2+X+1  1  1  X X+1  X  0  X X+1 X^2+X+1 X^2+X  1 X^2+X X+1 X^2+X+1  X X^2+X+1 X^2  X X^2+X+1 X^2+X+1  1 X^2+X+1 X^2+1 X^2+1 X^2+X X^2+X+1 X^2+X+1 X^2+1  1 X^2+X  0 X^2+X+1  1  0 X^2+X  X
 0  0  0  X  0  X  X X^2+X  X  X  X X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  0 X^2+X  0 X^2+X  X X^2+X X^2+X  X X^2 X^2 X^2 X^2  0  0 X^2+X X^2  0 X^2+X X^2+X X^2  0  0 X^2+X  X  0  X X^2+X X^2+X  X X^2+X X^2  0 X^2 X^2  0  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+110x^57+203x^58+262x^59+289x^60+228x^61+203x^62+170x^63+115x^64+102x^65+105x^66+60x^67+67x^68+40x^69+17x^70+34x^71+14x^72+16x^73+8x^74+2x^75+2x^76

The gray image is a linear code over GF(2) with n=248, k=11 and d=114.
This code was found by Heurico 1.11 in 0.141 seconds.