The generator matrix
1 0 0 1 1 1 X 1 1
0 1 0 1 X+2 X+3 1 0 0
0 0 1 1 X+3 X+2 1 0 0
0 0 0 2 0 0 0 0 2
0 0 0 0 2 0 0 0 2
0 0 0 0 0 2 0 0 2
0 0 0 0 0 0 2 0 2
0 0 0 0 0 0 0 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+76x^4+128x^5+392x^6+2304x^7+1614x^8+7424x^9+1488x^10+2304x^11+476x^12+128x^13+40x^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 0.129 seconds.