The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^6+83x^8+412x^10+1004x^12+5120x^13+1024x^14+427x^16+68x^18+20x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=104, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0344 seconds.