The generator matrix

 1  0  0  1  1  1  2  1  1  8  1  1  1
 0  1  0  2  5  7  1  8  9  1  6  4  8
 0  0  1  1  3  2  1 14  5  2  6  1  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+72x^10+418x^11+731x^12+1708x^13+677x^14+386x^15+76x^16+16x^17+11x^18

The gray image is a code over GF(2) with n=104, k=12 and d=40.
This code was found by Heurico 1.16 in 0.02 seconds.