The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1
 0  8  0  0  0  0  0  0  0  0  8  0  8
 0  0  8  0  0  0  0  0  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  0  8  0  8  8  0  0
 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+22x^6+55x^8+72x^10+352x^12+3072x^13+372x^14+87x^16+40x^18+16x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=104, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0112 seconds.