The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  X  1  1  1  1  X
 0  1  1  0 X+1  1  X X+3  1  3  1 X+2  2  2 X+2  0 X+2  0
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  X  X  0  2  0  0
 0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  0  0  0  2  2  2  0  2
 0  0  0  0  0  0  2  0  0  2  2  2  2  0  0  2  2  2
 0  0  0  0  0  0  0  2  2  0  0  2  2  2  0  2  2  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+148x^12+352x^14+256x^15+1518x^16+768x^17+2112x^18+768x^19+1512x^20+256x^21+352x^22+144x^24+4x^28+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 0.387 seconds.