The generator matrix

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

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+19x^58+24x^59+44x^60+336x^61+44x^62+24x^63+19x^64+1x^122

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 0.108 seconds.