The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  0  0  X  0  2  1  1
 0  1  1  0  1  1  0 X+1  1  1  X  1  1  X  0  1  2  0
 0  0  X  0  0  0 X+2  2  X  0  0  X  0  2  X  2  X  0
 0  0  0  X  0  0  0  0  X X+2  2  X  X  0  2  X X+2 X+2
 0  0  0  0  X X+2  0  2 X+2  2  X  0  X X+2  2  2  X  X
 0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  0
 0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  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+213x^12+104x^13+764x^14+784x^15+2275x^16+2168x^17+3672x^18+2208x^19+2400x^20+792x^21+732x^22+80x^23+156x^24+8x^25+16x^26+11x^28

The gray image is a code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 89.2 seconds.