The generator matrix

 1  1  1  1  2  1  2  1  1
 0  2  0  2  2  4  0  0  8
 0  0  2  2  6  4  6  0  4
 0  0  0  8  0  0  8  8  0
 0  0  0  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^5+68x^6+282x^7+702x^8+1956x^9+696x^10+292x^11+64x^12+10x^13+4x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=72, k=12 and d=20.
This code was found by Heurico 1.16 in 0.00741 seconds.