The generator matrix

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

generates a code of length 59 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+139x^54+168x^55+481x^56+440x^57+570x^58+592x^59+528x^60+432x^61+419x^62+136x^63+131x^64+24x^65+22x^66+8x^68+1x^70+1x^72+2x^80+1x^94

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 0.297 seconds.