The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  2 X+2  1  1  0  2  1
 0  1  1  0  1  1  0 X+1  1  0  2  1  1 X+3  0  X  1  2
 0  0  X  0  0  0  0  0  0 X+2  2  X X+2  2  X  X  2  2
 0  0  0  X  0  0 X+2  2 X+2  X  0  2  X  X  0  2  0  2
 0  0  0  0  X X+2 X+2  2  X  2 X+2  0  0  0 X+2 X+2 X+2  X
 0  0  0  0  0  2  2  2  2  0  2  2  2  2  0  2  2  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+58x^12+122x^13+242x^14+584x^15+866x^16+1350x^17+1756x^18+1328x^19+882x^20+598x^21+234x^22+104x^23+48x^24+10x^25+8x^26+1x^32

The gray image is a code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 0.546 seconds.