The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  1  X  0  X  1  1  X
 0  X  0  0  0  X X+2  X  0  2 X+2 X+2 X+2  X  X X+2  2  2
 0  0  X  0  X  X X+2  0  0  0 X+2  X  2  2  2 X+2  2 X+2
 0  0  0  X  X  0 X+2  X  2  X X+2  2  0  2 X+2 X+2  X X+2
 0  0  0  0  2  0  0  0  2  0  2  0  2  0  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2
 0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  2  0
 0  0  0  0  0  0  0  2  0  0  2  2  2  0  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+212x^12+16x^13+440x^14+464x^15+894x^16+1568x^17+936x^18+1568x^19+1032x^20+464x^21+392x^22+16x^23+160x^24+24x^26+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 6.11 seconds.