The generator matrix

 1  0  1  1  1 X+2  1  1 X+2  1  1  0  1  1  1  1  2  1
 0  1 X+1 X+2  3  1  0 X+1  1 X+2  3  1  2  X  2  X  0  0
 0  0  2  2  0  2  2  0  0  0  2  2  2  0  0  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+15x^16+48x^17+14x^18+32x^19+16x^21+2x^26

The gray image is a code over GF(2) with n=72, k=7 and d=32.
This code was found by Heurico 1.16 in 0.00174 seconds.