The generator matrix

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

generates a code of length 27 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+107x^24+168x^26+129x^28+88x^30+15x^32+3x^36+1x^48

The gray image is a code over GF(2) with n=108, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0224 seconds.