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  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X X^2  X  X  X  X  X  X  X  X  X  X  X X^2
 0 X^3+X^2  0 X^2  0  0 X^2 X^3+X^2  0  0 X^2 X^3+X^2  0  0 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^2 X^3+X^2  0 X^3+X^2 X^3+X^2 X^3 X^2 X^3+X^2  0 X^3+X^2 X^3+X^2  0  0 X^3 X^3  0 X^3  0 X^2 X^2 X^2 X^3+X^2  0  0 X^3 X^3 X^3 X^2
 0  0 X^3+X^2 X^2  0 X^3+X^2 X^2  0 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3  0 X^3+X^2 X^2  0  0 X^3+X^2 X^2  0 X^2 X^2  0 X^3+X^2 X^2 X^3 X^2 X^2  0 X^3+X^2 X^2 X^3  0 X^3 X^3  0  0 X^3+X^2 X^2 X^3  0 X^3+X^2 X^3+X^2  0 X^3 X^3  0 X^2 X^2
 0  0  0 X^3 X^3 X^3  0 X^3 X^3 X^3 X^3 X^3  0  0  0  0  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0  0  0  0  0  0 X^3  0  0 X^3 X^3 X^3  0 X^3 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0  0 X^3 X^3  0  0  0  0  0 X^3 X^3

generates a code of length 61 over Z2[X]/(X^4) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+24x^58+48x^59+112x^60+176x^61+82x^62+16x^63+31x^64+16x^65+4x^66+2x^86

The gray image is a linear code over GF(2) with n=488, k=9 and d=232.
This code was found by Heurico 1.16 in 0.187 seconds.