The generator matrix

 1  0  1  1  1  0  2  1  1
 0  1 11  6  1  1  0  3  0
 0  0 12  0  0  0  4  4  8
 0  0  0 12  0 12  0  4  8
 0  0  0  0  4  0  4  8  0
 0  0  0  0  0  8  8  0  8

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+29x^4+118x^5+382x^6+1902x^7+6757x^8+14380x^9+6756x^10+1932x^11+379x^12+94x^13+30x^14+6x^15+2x^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 0.203 seconds.