The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^4+160x^5+994x^6+3072x^7+14257x^8+28352x^9+14236x^10+3072x^11+1015x^12+160x^13+98x^14+6x^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 0.677 seconds.