The generator matrix

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

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+252x^54+200x^55+680x^56+476x^57+818x^58+636x^59+858x^60+620x^61+930x^62+472x^63+723x^64+388x^65+488x^66+188x^67+240x^68+84x^69+88x^70+8x^71+20x^72+14x^74+6x^76+2x^78

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 7.46 seconds.