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

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+53x^58+140x^59+71x^60+76x^61+32x^62+64x^63+23x^64+16x^65+5x^66+20x^67+4x^69+5x^74+1x^76+1x^82

The gray image is a linear code over GF(2) with n=244, k=9 and d=116.
This code was found by Heurico 1.11 in 0.047 seconds.