The generator matrix

 1  0  1  1  1  4  1  2  1
 0  1  1  0 11  1  7 10  8
 0  0  2  6  4  6  2  2  0
 0  0  0 12  0  4  8  4  4
 0  0  0  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^5+200x^6+1194x^7+3118x^8+7276x^9+3152x^10+1204x^11+176x^12+22x^13+8x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=72, k=14 and d=20.
This code was found by Heurico 1.16 in 0.068 seconds.