The generator matrix

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

generates a code of length 54 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+166x^50+588x^51+532x^52+544x^53+619x^54+632x^55+386x^56+240x^57+165x^58+124x^59+40x^60+48x^61+8x^62+1x^64+1x^70+1x^74

The gray image is a code over GF(2) with n=432, k=12 and d=200.
This code was found by Heurico 1.16 in 0.266 seconds.