The generator matrix

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

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+72x^12+210x^13+510x^14+1004x^15+2329x^16+2286x^17+3419x^18+2536x^19+2272x^20+942x^21+546x^22+172x^23+62x^24+18x^25+4x^26+1x^34

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 1.53 seconds.