The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+240x^4+904x^5+5016x^6+13032x^7+29602x^8+33552x^9+29456x^10+13072x^11+5096x^12+872x^13+216x^14+8x^15+5x^16

The gray image is a code over GF(2) with n=36, k=17 and d=8.
This code was found by Heurico 1.13 in 0.484 seconds.