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

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+265x^48+88x^50+550x^52+336x^54+458x^56+88x^58+212x^60+42x^64+6x^68+1x^72+1x^88

The gray image is a code over GF(2) with n=216, k=11 and d=96.
This code was found by Heurico 1.16 in 2.03 seconds.