The generator matrix

 1  0  1  1  1  0  2  2  2
 0  1 11  6  5  1  0  0  0
 0  0 12  0  4  0  4 12  0
 0  0  0 12  4 12  4  0  0
 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+148x^4+224x^5+1328x^6+4224x^7+12894x^8+27968x^9+12768x^10+4224x^11+1412x^12+224x^13+112x^14+9x^16

The gray image is a code over GF(2) with n=72, k=16 and d=16.
This code was found by Heurico 1.16 in 0.685 seconds.