The generator matrix

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

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+60x^57+211x^58+176x^59+139x^60+78x^61+84x^62+54x^63+61x^64+24x^65+30x^66+32x^67+34x^68+22x^69+6x^70+2x^71+4x^72+5x^74+1x^76

The gray image is a linear code over GF(2) with n=244, k=10 and d=114.
This code was found by Heurico 1.11 in 0.094 seconds.