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 2X+2  X  X  X  X  X  X  X  X  X  X  X 2X+2
 0  2  0 2X+2  0  0 2X+2  2  0  0 2X+2  2  0  0 2X+2  2 2X 2X  2 2X+2 2X 2X  2 2X+2 2X 2X  2 2X+2 2X 2X  2 2X+2 2X 2X+2  2  0  2  2 2X 2X+2  2  0  2  2  0  0 2X 2X  0 2X  0 2X+2 2X+2 2X+2  2  0  0 2X 2X 2X 2X+2
 0  0  2 2X+2  0  2 2X+2  0 2X 2X+2  2 2X 2X 2X+2  2 2X 2X 2X+2  2 2X 2X 2X+2  2 2X  0  2 2X+2  0  0  2 2X+2  0 2X+2 2X+2  0  2 2X+2 2X 2X+2 2X+2  0  2 2X+2 2X  0 2X 2X  0  0  2 2X+2 2X  0  2  2  0 2X 2X  0 2X+2 2X+2
 0  0  0 2X 2X 2X  0 2X 2X 2X 2X 2X  0  0  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X  0  0  0  0  0  0 2X  0  0 2X 2X 2X  0 2X 2X  0 2X 2X 2X 2X 2X 2X  0  0 2X 2X  0  0  0  0  0 2X 2X

generates a code of length 61 over Z4[X]/(X^2+2X+2) 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 code over GF(2) with n=488, k=9 and d=232.
This code was found by Heurico 1.16 in 0.188 seconds.