The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1 X^2  1  1  1  1  1  1  1  X X^2+2  1  1  1 X^2+2  X X^2 X^2+2  X  1  X  1
 0  X  0  X  2  0 X+2  X X^2 X^2+X X^2 X^2+X X^2+2 X^2 X^2+X+2 X^2+X  0  2 X+2 X+2  0 X^2 X+2 X^2+X X^2 X^2+X+2  2 X^2+2 X^2 X^2+X  X X+2 X^2+X  X  0 X+2 X^2+X+2 X^2+X+2  0 X^2+X X^2+2 X+2  X X^2 X^2+2 X^2  X X^2+X+2 X^2+2 X^2+2 X^2 X^2+2  2  2
 0  0  X  X X^2 X^2+X X^2+X X^2 X^2 X^2+X+2  X X^2+2  0 X^2+X X+2  2  0 X^2+X+2 X^2+X X^2+2 X^2+2 X^2+X X+2 X^2+2 X^2+2 X^2+X+2 X+2  0 X+2  0  2 X^2+X+2 X+2 X+2 X^2  0  2  X X^2+X+2 X^2+X X^2  2  0 X+2 X^2+X X^2 X^2+X X+2  X  X X^2+X X+2 X^2+X X^2+2
 0  0  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  0  0  2  0  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  0  0  2  2  2  2  0  2  2  0  0  2  0  0  0  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+151x^50+124x^51+331x^52+296x^53+393x^54+228x^55+234x^56+88x^57+105x^58+28x^59+57x^60+7x^62+4x^63+1x^88

The gray image is a code over GF(2) with n=432, k=11 and d=200.
This code was found by Heurico 1.16 in 0.172 seconds.