The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+23x^4+48x^5+86x^6+208x^7+287x^8+208x^9+100x^10+48x^11+9x^12+6x^14

The gray image is a code over GF(2) with n=32, k=10 and d=8.
This code was found by Heurico 1.16 in 0.000879 seconds.