The generator matrix

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

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+126x^56+200x^57+296x^58+220x^59+222x^60+164x^61+188x^62+148x^63+152x^64+84x^65+82x^66+36x^67+39x^68+28x^69+28x^70+12x^71+10x^72+4x^73+6x^74+1x^76+1x^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 1.11 in 0.14 seconds.