The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^6+66x^7+215x^8+306x^9+612x^10+994x^11+7320x^12+13666x^13+7266x^14+950x^15+615x^16+358x^17+244x^18+38x^19+40x^20+6x^21+7x^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 0.605 seconds.