The generator matrix
1 0 1 1 1 0 1 1 1
0 1 X+1 X+2 1 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 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+29x^4+32x^5+31x^6+192x^7+451x^8+576x^9+451x^10+192x^11+31x^12+32x^13+29x^14+1x^18
The gray image is a code over GF(2) with n=36, k=11 and d=8.
This code was found by Heurico 1.16 in 0.00274 seconds.