The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+62x^8+1x^16

The gray image is a code over GF(2) with n=32, k=6 and d=16.
This code was found by Heurico 1.16 in 0.000387 seconds.