The generator matrix

 1  0  0  1  1  1  X X^2+X  1  1 X^2  1  1 X^2+X  1  1  X  1 X^2+X  1 X^2+X  1  1  0  1 X^2  1 X^2 X^2 X^2  0 X^2 X^2+X  X  1 X^2+X  1  1  X X^2+X  1  1  X X^2 X^2+X  1  1 X^2+X  X  1  1  1  1 X^2+X  1  1 X^2+X  1  X X^2  0
 0  1  0  0 X^2+1 X+1  1  0 X^2 X^2+X+1  1  0  1  1 X^2 X^2+1  1  X  1 X^2+X+1  X X^2 X+1  1  X  1 X^2+1  1 X^2+X  1  1  1  1  1 X+1 X^2+X  0 X^2+X  1  1 X^2  1  1  1  1  X  1  0  1 X^2  1 X^2+X X+1  1  0  1  1  X X^2  1  1
 0  0  1  1 X^2+1 X^2 X^2+1  1  0 X+1  1 X^2+X+1  0 X^2  0  1  1 X^2+1 X^2+X X^2+X  1 X^2 X+1 X+1 X+1 X+1  X X^2+X  1 X+1 X^2 X^2+X X+1 X^2+X+1  0  1 X+1 X^2+1 X^2 X^2+X X^2+X X+1  1 X^2+1 X+1 X^2  X  1  1  X X^2+X+1 X^2 X^2  X  1  0 X^2+X  1  X X^2+X+1  1
 0  0  0  X  X  0  X X^2+X  X  0  0 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X X^2 X^2  X  0  0 X^2 X^2 X^2+X  X  X  0 X^2+X X^2+X X^2 X^2+X X^2+X  0 X^2  0 X^2  0  X  X X^2+X X^2+X  0 X^2 X^2  0  X  X X^2 X^2  X  0 X^2 X^2+X  0 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+166x^56+64x^57+356x^58+168x^59+325x^60+144x^61+328x^62+64x^63+180x^64+32x^65+76x^66+24x^67+22x^68+32x^70+36x^72+16x^73+8x^74+5x^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 1.16 in 0.244 seconds.