The generator matrix
1 0 0 1 1 1 2 1 1
0 1 0 1 6 7 1 0 0
0 0 1 1 3 2 1 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 0 0
generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+87x^4+384x^5+1184x^6+1440x^7+5901x^8+14784x^9+5880x^10+1440x^11+1205x^12+384x^13+72x^14+6x^16
The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.117 seconds.