The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X
 0  2  0  0  0  0  0  2  0  2  0  0  2  2  0  2  2  2
 0  0  2  0  0  0  2  2  0  2  0  2  0  2  2  2  0  0
 0  0  0  2  0  0  2  0  0  2  2  2  2  0  0  2  0  2
 0  0  0  0  2  0  2  0  2  2  2  0  0  2  0  2  2  0
 0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  2  0  2

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+78x^16+128x^18+32x^20+16x^24+1x^32

The gray image is a code over GF(2) with n=72, k=8 and d=32.
This code was found by Heurico 1.16 in 0.0103 seconds.