The generator matrix

 1  1  1  1  2  2  2  1  1
 0  2  0  2  4  2  6  0  0
 0  0  2  2  2  6  0  0  0
 0  0  0  4  0  4  0  8  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+61x^4+128x^5+318x^6+1152x^7+3209x^8+6656x^9+3188x^10+1152x^11+339x^12+128x^13+46x^14+6x^16

The gray image is a code over GF(2) with n=72, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0547 seconds.