The generator matrix

 1  0  1  1  1  0  1  1  1  1  2  1  1
 0  1  3  6  5  1  0  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  0  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+53x^4+96x^5+48x^6+480x^7+340x^8+960x^9+424x^10+3104x^11+11506x^12+31680x^13+11176x^14+3104x^15+721x^16+960x^17+120x^18+480x^19+169x^20+96x^21+8x^22+10x^24

The gray image is a code over GF(2) with n=104, k=16 and d=16.
This code was found by Heurico 1.16 in 0.598 seconds.