The generator matrix

 1  1  1  1  1  1  2  1  1
 0 12  0  0  0  0  0  4  8
 0  0 12  0  0  0  0  4 12
 0  0  0 12  0  0 12  8  0
 0  0  0  0 12  0 12 12  4
 0  0  0  0  0 12 12  4  0
 0  0  0  0  0  0  8  0  8

generates a code of length 9 over Z16 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+24x^3+114x^4+272x^5+540x^6+1000x^7+3456x^8+21984x^9+3400x^10+1000x^11+582x^12+272x^13+92x^14+24x^15+7x^16

The gray image is a code over GF(2) with n=72, k=15 and d=12.
This code was found by Heurico 1.16 in 0.278 seconds.