The generator matrix

 1  0  0  1  1  1 12 10  1
 0  1  0  1  2 15  0  1 12
 0  0  1  1  1  0  1  1  2
 0  0  0  2  0  6  6  4  4
 0  0  0  0  8  8  8  8  8

generates a code of length 9 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+76x^5+664x^6+3728x^7+14686x^8+27208x^9+14720x^10+3728x^11+640x^12+76x^13+8x^14+1x^16

The gray image is a code over GF(2) with n=72, k=16 and d=20.
This code was found by Heurico 1.16 in 0.872 seconds.