The generator matrix

 1  1  1  1  1  1  2  4  2  4  2  1  1
 0 12  0 12  0 12 12  4 12 12 12  0  0
 0  0  8  0  0  0  0  0  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  0  8  8
 0  0  0  0  0  0  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+71x^8+176x^10+384x^11+544x^12+1792x^13+448x^14+384x^15+263x^16+16x^18+16x^20+1x^24

The gray image is a code over GF(2) with n=104, k=12 and d=32.
This code was found by Heurico 1.16 in 0.0242 seconds.