The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+12x^52+48x^53+6x^54+48x^55+2x^56+8x^58+1x^64+2x^70

The gray image is a code over GF(2) with n=216, k=7 and d=104.
This code was found by Heurico 1.13 in 0.047 seconds.