The generator matrix

 1  0  1  1  1 X+2  1
 0  1 X+1 X+2  3  1  2

generates a code of length 7 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+22x^6+16x^7+23x^8+2x^10

The gray image is a code over GF(2) with n=28, k=6 and d=12.
This code was found by Heurico 1.16 in 8.89e-005 seconds.