The generator matrix

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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+125x^54+376x^55+607x^56+654x^57+650x^58+754x^59+715x^60+718x^61+755x^62+626x^63+574x^64+532x^65+381x^66+294x^67+199x^68+104x^69+68x^70+30x^71+14x^72+6x^73+5x^74+2x^76+2x^77

The gray image is a linear code over GF(2) with n=244, k=13 and d=108.
This code was found by Heurico 1.16 in 2.47 seconds.