The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  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  2  0  0  2  0  0  2  2  2
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  0  0
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  0  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+102x^12+153x^16+1536x^18+153x^20+102x^24+1x^36

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 0.0398 seconds.