The generator matrix

 1  1  1  1  1  1  1  X  1  0  X  1  X  1  1  1  1  1
 0  X  0 X+2  0 X+2  0  X X+2  X X+2  2 X+2  0  0  2  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2
 0  0  0  2  0  0  0  0  2  0  2  0  2  2  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  0  0
 0  0  0  0  0  2  0  0  2  2  0  0  2  0  2  2  0  0
 0  0  0  0  0  0  2  0  0  2  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  0  0  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+84x^12+64x^15+430x^16+448x^17+448x^19+424x^20+64x^21+80x^24+4x^28+1x^32

The gray image is a code over GF(2) with n=72, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0371 seconds.