The generator matrix
1 1 1 1 2 2 1 1 2
0 2 12 6 6 6 0 0 0
0 0 8 0 0 0 0 0 8
0 0 0 8 0 0 0 0 8
0 0 0 0 8 0 0 0 8
0 0 0 0 0 8 0 0 8
0 0 0 0 0 0 8 0 8
0 0 0 0 0 0 0 8 8
generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+44x^4+32x^5+104x^6+640x^7+910x^8+4800x^9+784x^10+640x^11+188x^12+32x^13+8x^14+9x^16
The gray image is a code over GF(2) with n=72, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0207 seconds.