The generator matrix

 1  1  1  1  2  2  1  1  1
 0  2 12  6  6  6  0  0  0
 0  0  8  0  0  0  0  8  0
 0  0  0  8  0  0  0  8  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

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+29x^4+32x^5+31x^6+320x^7+451x^8+2368x^9+451x^10+320x^11+31x^12+32x^13+29x^14+1x^18

The gray image is a code over GF(2) with n=72, k=12 and d=16.
This code was found by Heurico 1.16 in 0.00606 seconds.