The generator matrix

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

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+100x^54+180x^55+243x^56+300x^57+355x^58+378x^59+377x^60+382x^61+372x^62+364x^63+265x^64+290x^65+179x^66+92x^67+91x^68+34x^69+34x^70+8x^71+10x^72+18x^73+13x^74+2x^75+4x^76+2x^78+1x^80+1x^82

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 0.848 seconds.