The generator matrix

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

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+382x^50+192x^51+758x^52+320x^53+826x^54+320x^55+734x^56+192x^57+346x^58+9x^60+6x^62+8x^66+1x^76+1x^80

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 125 seconds.