The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1  0  0  1  1 X^2+X  1  1  1  X  1  X  1 X^2+X  1 X^2+X  1  1  0  1  1  X  1  1  1  X  1  X  1  1  1  1  0  X  1 X^2  1  1  1  1 X^2+X  0  1  1 X^2+X  1 X^2+X  X
 0  1  1  0 X^2+X+1  1 X+1 X^2+X  1 X^2  1 X^2+1  X X+1  1  1  0 X^2+1  1  X X+1  X  1  1  1 X^2+X  1 X^2+X+1  1 X^2+X X^2+X+1  1 X+1  0  1 X^2+1  1  X  1 X+1  1  1  0 X^2+X X^2+1  1  1 X^2+X+1  1  X X^2+X X^2+X+1 X^2+X  1  1  1 X^2+1  1  0  1 X^2
 0  0  X  0 X^2+X  0 X^2 X^2  X X^2+X X^2+X X^2  X  X  X  0  X X^2 X^2+X X^2 X^2 X^2+X X^2 X^2+X  X X^2 X^2 X^2  X  0  X  0  0  0 X^2+X X^2+X  0 X^2  X  0 X^2 X^2+X X^2 X^2+X X^2+X  X  X X^2 X^2 X^2+X  X  0  X  0  0  0  0 X^2 X^2  X  X
 0  0  0  X  0  0  0 X^2 X^2 X^2 X^2  0  0  X  X  X X^2+X  X  X X^2+X  X X^2+X X^2+X X^2+X  X  0 X^2 X^2+X  0 X^2+X X^2 X^2  0 X^2+X  X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X  X  0 X^2+X  X  0 X^2  0 X^2+X  X X^2+X X^2 X^2 X^2 X^2+X X^2  X  X  0  X  0
 0  0  0  0 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0
 0  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2  0  0 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+113x^54+144x^55+245x^56+312x^57+366x^58+328x^59+357x^60+464x^61+339x^62+320x^63+302x^64+376x^65+175x^66+104x^67+61x^68+44x^70+15x^72+19x^74+9x^76+1x^80+1x^84

The gray image is a linear code over GF(2) with n=244, k=12 and d=108.
This code was found by Heurico 1.16 in 0.907 seconds.