The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  1
 0  2  0  0  0  6 14 14 12  4  6 10  0
 0  0  2  0  2  6  2  0  4  8  2  6  0
 0  0  0  2  2  0  6  2  4 10  4 14  0
 0  0  0  0  8  8  0  8  8  0  8  8  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+79x^8+220x^9+505x^10+1000x^11+3227x^12+6264x^13+3319x^14+1008x^15+464x^16+204x^17+79x^18+8x^19+5x^20+1x^22

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 0.333 seconds.