The generator matrix

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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+76x^58+92x^59+81x^60+100x^61+50x^62+32x^63+20x^64+20x^65+18x^66+8x^67+4x^68+4x^72+4x^75+1x^76+1x^80

The gray image is a linear code over GF(2) with n=244, k=9 and d=116.
This code was found by Heurico 1.16 in 0.0694 seconds.