The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+311x^48+530x^50+884x^52+766x^54+821x^56+466x^58+223x^60+26x^62+50x^64+4x^66+12x^68+1x^72+1x^76

The gray image is a code over GF(2) with n=216, k=12 and d=96.
This code was found by Heurico 1.16 in 88.1 seconds.