The generator matrix

 1  0  1  1  1  4  2  1  1
 0  1  1  0  3  1 14 15 10
 0  0  2  0  2  4  2  0  4
 0  0  0  2  2  6  6  6  2
 0  0  0  0  8  0  0  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+424x^6+1968x^7+7502x^8+12808x^9+7536x^10+1968x^11+400x^12+76x^13+8x^14+1x^16

The gray image is a code over GF(2) with n=72, k=15 and d=20.
This code was found by Heurico 1.16 in 0.286 seconds.