The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+213x^8+636x^9+2172x^10+6156x^11+13981x^12+19160x^13+14010x^14+6232x^15+2210x^16+556x^17+168x^18+28x^19+11x^20+2x^22

The gray image is a code over GF(2) with n=104, k=16 and d=32.
This code was found by Heurico 1.16 in 7.76 seconds.