The generator matrix

 1  1  1  1  1  1  1  X  1  0  X  0  1  1  X  X  1  1
 0  X  0  0 X+2 X+2  0  X X+2  X X+2  X  0 X+2 X+2 X+2  0 X+2
 0  0  2  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  0  2  0
 0  0  0  0  2  0  0  0  0  2  0  0  2  2  0  0  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2
 0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  2  0  0
 0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  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+126x^12+208x^14+1025x^16+1376x^18+1025x^20+208x^22+126x^24+1x^36

The gray image is a code over GF(2) with n=72, k=12 and d=24.
This code was found by Heurico 1.16 in 48.4 seconds.