The generator matrix

 1  0  0  1  1  1  0  1  1  1 X+2  1  2  0  X  1  X  1  1 X+2  1  0  1  X  0  1  1 X+2 X+2  1  1  1  1  X  1  2 X+2  1  1  X  2  1  1 X+2  1  0  2  X  0  2  1  0  1  1
 0  1  0  0  1  1  1  2 X+3 X+1  1  X  1  1  0 X+2  X  3  X  1 X+3  1 X+2  1  0  2 X+3  1  0  0  3 X+2  3  1  2  1  1 X+3  3  X  1 X+3  0  1  X  2  0  1  1  1 X+2  1 X+2  X
 0  0  1 X+1 X+3  0 X+1  X X+2 X+3 X+3  3  1 X+2  1 X+2  1  3 X+1  2  2  X  2  3  1  2 X+1  X  1  3  1 X+3 X+2 X+3  0  2  X  3 X+2  1 X+1  1  3  0  3  1  1 X+1  0 X+1 X+1  2 X+2 X+1
 0  0  0  2  0  0  0  2  2  2  0  0  2  2  2  0  0  0  2  0  2  2  0  0  2  2  0  0  0  0  2  0  0  2  2  2  0  2  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2
 0  0  0  0  2  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  2  0  2  2  0  2  0  0  2  2  2  2  0  2  0  2  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  2  0  2  0  2  2  0  0  2  0  2  0  0  2  2  2  2  0  0  2  2  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+148x^48+136x^49+472x^50+352x^51+524x^52+356x^53+432x^54+280x^55+469x^56+212x^57+252x^58+128x^59+141x^60+60x^61+80x^62+8x^63+26x^64+4x^65+12x^66+3x^68

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 0.609 seconds.