The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+75x^54+218x^55+487x^56+452x^57+665x^58+344x^59+650x^60+436x^61+470x^62+200x^63+72x^64+8x^65+4x^66+4x^67+3x^68+1x^70+2x^71+2x^72+1x^82+1x^84

The gray image is a code over GF(2) with n=472, k=12 and d=216.
This code was found by Heurico 1.16 in 0.313 seconds.