The generator matrix

 1  0  0  0  1  1  1 X+2  1  X  2  1  0  2  0  1  1  1
 0  1  0  0  0  1  1  1  2 X+2  1 X+3 X+2  1  1  1  1  0
 0  0  1  0  1  1  0 X+1 X+3  1  3 X+3 X+2 X+2 X+3  2  1  0
 0  0  0  1  1  0 X+1  1  X X+3  0  2  1  1 X+1  X  0  0
 0  0  0  0  X  2  X  X X+2  0  X  X  X  0  2 X+2  0  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+112x^12+242x^13+575x^14+1200x^15+2013x^16+2618x^17+2742x^18+2736x^19+2128x^20+1158x^21+504x^22+224x^23+98x^24+14x^25+18x^26+1x^30

The gray image is a code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.13 in 0.713 seconds.