The generator matrix

 1  1  1  1  2  0  0  1  1  2  1  1  1
 0  2  0  2  2  2 12  0 10  2  0  2  0
 0  0  2  2  6 12  2 12  6  2  0  2  0
 0  0  0  8  0  0  0  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0
 0  0  0  0  0  0  0  8  8  0  8  0  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+23x^6+24x^7+163x^8+416x^9+1080x^10+2616x^11+5900x^12+12288x^13+5902x^14+2696x^15+1083x^16+352x^17+160x^18+40x^19+20x^20+3x^22+1x^24

The gray image is a code over GF(2) with n=104, k=15 and d=24.
This code was found by Heurico 1.16 in 0.357 seconds.