The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  1
 0 12  0  0  0  4 12  4  8  0  4 12  0
 0  0 12  0  4  4  4  8  0  4  4  0  0
 0  0  0 12  4  0  4  4  4 12  0  8  0
 0  0  0  0  8  0  0  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+35x^8+54x^9+84x^10+190x^11+391x^12+2588x^13+394x^14+188x^15+84x^16+46x^17+32x^18+6x^19+1x^20+2x^22

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 0.0262 seconds.