The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1  2  1  1  1  1 X+2  X  1  1  1
 0  1 X+1 X+2  3  1  0 X+1  1 X+2  3  1  0 X+1  1 X+2 X+3  1  2  X  3  1  1  1  0  2  0
 0  0  2  0  2  0  0  2  0  0  2  0  2  0  2  2  0  2  2  2  0  0  2  2  2  2  0
 0  0  0  2  2  2  2  2  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  0  0  0  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+18x^24+80x^25+12x^26+32x^27+12x^28+80x^29+18x^30+1x^32+2x^38

The gray image is a code over GF(2) with n=108, k=8 and d=48.
This code was found by Heurico 1.16 in 0.00585 seconds.