The generator matrix

 1  1  1  1  1  1  2  0  1  1  4  0  2  0  0  1  1
 0  2  0 14  4  6  6  2 12  2  8  2  6  2  2  0  0
 0  0 12  4  4  0  0 12  0  4  4  0  0  8  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  0  8  8  0  8  0  8  0  0  0  8

generates a code of length 17 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+29x^10+177x^12+160x^13+985x^14+1536x^15+2901x^16+4800x^17+2910x^18+1536x^19+990x^20+160x^21+166x^22+26x^24+5x^26+1x^28+1x^30

The gray image is a code over GF(2) with n=136, k=14 and d=40.
This code was found by Heurico 1.16 in 0.486 seconds.