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

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+116x^24+120x^26+222x^28+8x^30+42x^32+2x^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 0.0375 seconds.