The generator matrix

 1  0  0  1  1  1  0  1 X^2  1  1  X X^2+X  1  1  X  0  1  1  1 X^2 X^2+X  1  1  0 X^2 X^2+X  1  1  1 X^2  1  X  0  1 X^2+X X^2+X X^2+X  1  1  1  1 X^2  1  X X^2  1  0  1  1  X  1  1 X^2+X  1  1 X^2 X^2  X  1  1  1
 0  1  0  0  1 X^2+1  1  X  1  1 X^2+X  1 X^2 X^2+X+1  0  1 X^2+X X^2+X+1 X^2  1  1  1 X^2+X X^2+X+1  1 X^2+X  1  X X+1 X+1  1 X^2  1  1  1  1  1  1 X^2+X+1 X^2+1  0  X  1  1  1  1  X X^2 X^2+1  X X^2+X  0  1  1 X+1  1  1 X^2  1  1 X+1 X^2+X+1
 0  0  1 X+1 X^2+X+1  0 X+1 X^2+1 X^2+X  1 X^2 X^2+1  1 X^2  1 X^2+X  1  1 X^2+X  X  1 X^2 X^2+X+1 X^2+X X^2+X+1  1  X  0 X^2+1 X+1 X^2+X+1  1 X^2+1 X^2+X X^2 X+1 X^2+X+1 X^2+1 X^2+X X+1  X  X  1 X^2+X+1  X X^2 X^2+X  1  X X^2+X  1  X  1 X^2  0 X^2+X X^2  1 X+1 X^2+1 X+1 X^2+X+1
 0  0  0 X^2  0  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  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0
 0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  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 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 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+156x^57+181x^58+282x^59+188x^60+258x^61+138x^62+262x^63+98x^64+140x^65+66x^66+114x^67+54x^68+20x^69+28x^70+30x^71+11x^72+12x^73+2x^74+6x^77+1x^82

The gray image is a linear code over GF(2) with n=248, k=11 and d=114.
This code was found by Heurico 1.16 in 0.376 seconds.