The generator matrix
1 0 0 1 1 1 10
0 1 0 1 6 7 1
0 0 1 1 3 2 1
0 0 0 12 0 8 4
0 0 0 0 8 8 0
generates a code of length 7 over Z16 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+173x^4+1440x^5+6984x^6+15552x^7+7019x^8+1440x^9+152x^10+7x^12
The gray image is a code over GF(2) with n=56, k=15 and d=16.
This code was found by Heurico 1.16 in 0.143 seconds.