The generator matrix

 1  0  1  1  1 3X+2  1  1 3X  1  1  2  1  1  2  1  1 3X  1  1 3X+2  1  1  0  1  1  1  1 2X X+2  1  1  1  1 2X+2  X  1  1  1  1  1  1  1  1 2X X+2 2X+2  X  1  X  X  0  1  1  1  1  1  1  1
 0  1 X+1 3X+2 2X+3  1  2 X+3  1 3X 2X+1  1  0 X+1  1 3X+2 2X+3  1  2 X+3  1 3X 2X+1  1 2X X+2 3X+1  3  1  1 2X+2  X 3X+3  1  1  1 2X X+2 2X+2  X 3X+1  3 3X+3  1  1  1  1  1  0  2 3X+2  X  0 2X 3X+2  2 3X X+2  X
 0  0 2X 2X  0 2X 2X  0  0  0 2X 2X 2X  0  0  0 2X 2X  0 2X  0 2X  0 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0 2X  0 2X 2X  0  0 2X 2X  0  0 2X 2X  0  0 2X 2X 2X 2X 2X 2X 2X 2X  0 2X

generates a code of length 59 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+206x^58+128x^59+156x^60+16x^62+1x^64+2x^66+2x^80

The gray image is a code over GF(2) with n=472, k=9 and d=232.
This code was found by Heurico 1.16 in 1.11 seconds.