The generator matrix

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

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+76x^4+120x^5+532x^6+1568x^7+3482x^8+4816x^9+3496x^10+1568x^11+532x^12+120x^13+68x^14+5x^16

The gray image is a code over GF(2) with n=36, k=14 and d=8.
This code was found by Heurico 1.16 in 0.161 seconds.