The generator matrix
1 0 1 1 1 0 1 1 X
0 1 1 0 1 1 X+1 X+1 0
0 0 X 0 0 0 0 X 2
0 0 0 X 0 X+2 X X 2
0 0 0 0 X 0 X 0 2
0 0 0 0 0 2 0 2 2
0 0 0 0 0 0 2 2 2
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+148x^4+32x^5+688x^6+1664x^7+3294x^8+4800x^9+3168x^10+1664x^11+772x^12+32x^13+112x^14+9x^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 0.181 seconds.