The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  1  X  1  1 X+2  1  1 X+2  1  1  1  X  2  1  0
 0  1  0  0  1  1  1  X  2  3  1  X X+1  1  1 X+3  X  1  X  1  0  3 X+1  X  1 X+1  X
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+1 X+2  3  1 X+1  2  3 X+2  1 X+3  1  1  2 X+2
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  0  2  2  2  0  0  0  2  0  0  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+244x^24+320x^26+248x^28+128x^30+75x^32+8x^36

The gray image is a code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.11 in 0.0159 seconds.