The generator matrix

 1  1  1  1  2  0  1  1  2  1  1  1  1
 0  2 12  6  6  2  0  6  6  0  0  0  0
 0  0  8  0  0  0  0  0  0  8  0  0  8
 0  0  0  8  0  0  0  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  8
 0  0  0  0  0  0  0  0  8  8  8  8  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+26x^6+16x^7+83x^8+96x^9+284x^10+1264x^11+3180x^12+6464x^13+3200x^14+1264x^15+299x^16+96x^17+68x^18+16x^19+20x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=104, k=14 and d=24.
This code was found by Heurico 1.16 in 0.142 seconds.