The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  1  1 X+2  X X+2  2  1  1  1  1  1  1  1  1  1
 0  1  1 X+2 X+1  1  3  2  1  2  1  1  X X+3  1  1  1  1  X X+3  2  1  X X+3  0  0  2
 0  0  X  0  2  0  2  X  X X+2 X+2 X+2  X  X  0  X  X  2  2  0  0  2  X  X  2  0  2
 0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  0  0  2  2  2  0  2  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+32x^24+184x^25+38x^26+32x^27+24x^28+160x^29+22x^30+7x^32+8x^33+2x^34+2x^38

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 0.0112 seconds.