The generator matrix

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

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+5x^16+28x^17+6x^18+12x^19+2x^20+4x^21+2x^22+4x^23

The gray image is a code over GF(2) with n=72, k=6 and d=32.
This code was found by Heurico 1.16 in 0.00154 seconds.