The generator matrix

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

generates a code of length 10 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+20x^9+21x^10+20x^11+1x^14+1x^16

The gray image is a code over GF(2) with n=40, k=6 and d=18.
This code was found by Heurico 1.16 in 0.000179 seconds.