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.