The generator matrix

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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+355x^56+276x^58+502x^60+200x^62+472x^64+164x^66+44x^68+25x^72+6x^76+3x^80

The gray image is a linear code over GF(2) with n=244, k=11 and d=112.
This code was found by Heurico 1.16 in 14.8 seconds.