The generator matrix

 1  0  0  1  1  1  2  8  1  1  1  2  1
 0  1  0  1  2  3  1  1 12 14 11  1  8
 0  0  1  1  1  4  7  2  0  3  3 15  0
 0  0  0  2  8 10  6  6  6  2  4  0 12

generates a code of length 13 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+150x^9+779x^10+2428x^11+7322x^12+11364x^13+7418x^14+2416x^15+715x^16+150x^17+19x^18+4x^19+2x^20

The gray image is a code over GF(2) with n=104, k=15 and d=36.
This code was found by Heurico 1.16 in 1.34 seconds.