The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+380x^18+1077x^20+1258x^22+975x^24+344x^26+59x^28+2x^30

The gray image is a code over GF(2) with n=88, k=12 and d=36.
This code was found by Heurico 1.11 in 0.904 seconds.