The generator matrix

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

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+468x^50+840x^51+1208x^52+1312x^53+1320x^54+960x^55+804x^56+432x^57+340x^58+248x^59+160x^60+48x^61+48x^62+3x^64

The gray image is a code over GF(2) with n=432, k=13 and d=200.
This code was found by Heurico 1.16 in 0.609 seconds.