The generator matrix
1 1 1 1 2 2 2 1 1
0 12 0 4 0 4 12 0 0
0 0 12 4 12 4 0 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
generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+60x^4+248x^6+384x^7+750x^8+5376x^9+624x^10+384x^11+332x^12+24x^14+9x^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 0.026 seconds.