The generator matrix

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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+186x^57+91x^58+178x^59+44x^60+112x^61+56x^62+132x^63+31x^64+102x^65+23x^66+32x^67+2x^68+16x^69+6x^70+8x^71+2x^75+1x^80+1x^88

The gray image is a linear code over GF(2) with n=244, k=10 and d=114.
This code was found by Heurico 1.16 in 12.3 seconds.