The generator matrix

 1  1  1  1  2  0  2  1  1
 0  2  0  2  2  2  4  0  0
 0  0  2  2  6 12  2  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  0

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

Homogenous weight enumerator: w(x)=1x^0+39x^4+192x^5+144x^6+480x^7+1869x^8+2752x^9+1848x^10+480x^11+165x^12+192x^13+24x^14+6x^16

The gray image is a code over GF(2) with n=72, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0128 seconds.