The generator matrix

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

generates a code of length 59 over Z4[X]/(X^3+2,2X) 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 1.09 seconds.