The generator matrix

 1  0  0  0  1  1  1  1  1
 0  1  0  0  X  1  X  2  0
 0  0  1  0 X+1  1  1 X+1  0
 0  0  0  1  1 X+2  0  X  0
 0  0  0  0  2  0  2  2  0
 0  0  0  0  0  2  2  2  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+74x^4+196x^5+826x^6+1712x^7+3190x^8+4376x^9+3204x^10+1712x^11+826x^12+196x^13+66x^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 0.126 seconds.