The generator matrix
1 1 1 1 X X X 1 1
0 2 0 2X+2 0 2X+2 2 0 0
0 0 2 2X+2 2 2X+2 0 0 0
0 0 0 2X 0 0 2X 0 0
0 0 0 0 2X 0 2X 0 0
0 0 0 0 0 2X 2X 0 0
generates a code of length 9 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+39x^4+80x^6+96x^7+141x^8+1344x^9+120x^10+96x^11+101x^12+24x^14+6x^16
The gray image is a code over GF(2) with n=72, k=11 and d=16.
This code was found by Heurico 1.16 in 1.05e-007 seconds.