The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+513x^50+746x^51+1297x^52+1230x^53+1467x^54+830x^55+704x^56+478x^57+473x^58+228x^59+181x^60+4x^61+25x^62+4x^63+9x^64+2x^66

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 0.578 seconds.