The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+188x^12+550x^13+1276x^14+2282x^15+3785x^16+5240x^17+5892x^18+5540x^19+3796x^20+2342x^21+1236x^22+370x^23+198x^24+60x^25+12x^26

The gray image is a code over GF(2) with n=72, k=15 and d=24.
This code was found by Heurico 1.13 in 2.35 seconds.