The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+23x^6+24x^7+75x^8+20x^9+68x^10+16x^11+20x^12+4x^13+5x^14

The gray image is a code over GF(2) with n=36, k=8 and d=12.
This code was found by Heurico 1.16 in 0.000539 seconds.