The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  2  1  1  1  2  1  1  2  1  0  1  1  1  0  1 X+2  1  1  1  1  1 X+2  2 X+2  1  1  1  1  0 X+2  1  1  X X+2  X  2  2  X
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  2  1  3  2  1 X+3 X+2  1  1  2 X+1  1  2  1 X+1 X+2  3  1  3  1 X+2  3  0  0  0  1  1  1  3 X+2 X+2 X+1  1  1  1  3  0  1  1  1  1 X+2
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2 X+2  2  0 X+2  X X+2  0 X+2  2  X  2  0  2  2  2 X+2  X X+2 X+2 X+2  0  X  2  2 X+2  2  X  0  0 X+2  0  0 X+2  0  2  0  X  X  X  X  2  X
 0  0  0  X  0  0  2  2  2  2  0  2  2 X+2  X X+2 X+2  X X+2 X+2  X  X X+2 X+2 X+2 X+2  X  0 X+2 X+2  2  2 X+2  0  0  X  X X+2  0  X X+2  0  X  X  X  X  2 X+2  X  0  X  X  0  X
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2  X  X  X X+2  2  X  X  2  0  2  X  X X+2  0  2  0 X+2  X  0  X X+2  X X+2  0 X+2  0  2 X+2  0  X X+2  2  0  2  0 X+2 X+2 X+2  2 X+2  X X+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+254x^48+100x^49+458x^50+196x^51+636x^52+220x^53+574x^54+216x^55+488x^56+204x^57+338x^58+68x^59+212x^60+20x^61+58x^62+29x^64+12x^66+8x^68+4x^72

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 6.46 seconds.