The generator matrix

 1  0  1  1  1 14  1  1  1  1  8  0  1
 0  1 11  6  5  1  0  3  8 11  1  1  0
 0  0 12  0  4  0  4  0  4  0  8  0  0
 0  0  0 12  4  4  4  0  0  4 12  0  0
 0  0  0  0  8  0  0  0  8  8  8  0  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  8  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+39x^6+26x^7+163x^8+494x^9+1816x^10+3426x^11+16412x^12+20774x^13+16414x^14+3438x^15+1819x^16+490x^17+160x^18+22x^19+36x^20+2x^21+3x^22+1x^24

The gray image is a code over GF(2) with n=104, k=16 and d=24.
This code was found by Heurico 1.16 in 0.995 seconds.