The generator matrix

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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+172x^57+80x^58+182x^59+45x^60+156x^61+82x^62+114x^63+12x^64+74x^65+28x^66+50x^67+3x^68+10x^69+2x^70+2x^71+1x^72+2x^73+2x^77+4x^79+2x^80

The gray image is a linear code over GF(2) with n=244, k=10 and d=114.
This code was found by Heurico 1.16 in 56.2 seconds.