The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+40x^6+44x^7+109x^8+8x^9+40x^10+12x^11+2x^12

The gray image is a code over GF(2) with n=32, k=8 and d=12.
This code was found by Heurico 1.16 in 0.000376 seconds.