The generator matrix

 1  0  1  1  1  0  2  1  1
 0  1 11 14  5  1  8  0  0
 0  0 12  4  0 12  4  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+39x^4+128x^5+224x^6+384x^7+1533x^8+3584x^9+1512x^10+384x^11+245x^12+128x^13+24x^14+6x^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 0.00985 seconds.