The generator matrix

 1  0  0  0  0  1  1  1  1
 0  1  0  0  0  X  1 X+2  0
 0  0  1  0  0  1 X+1  3  0
 0  0  0  1  0  1  X  2  2
 0  0  0  0  1  1  2  X  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+86x^4+320x^5+1081x^6+3250x^7+6785x^8+9736x^9+6738x^10+3292x^11+1092x^12+296x^13+85x^14+2x^15+4x^16

The gray image is a code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.13 in 0.0958 seconds.