The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  2  1  2  4  1  1
 0 12  0  0  0  0  0  4 12 12  4  8 12  0  4  4  0
 0  0 12  0  0  0  4  0  4 12 12  8 12  4  0  4  0
 0  0  0 12  0  4  4  4  0  8 12  4  0  4  8  4  0
 0  0  0  0 12  4  0  8  4 12  4  4  0  8  4  4  0
 0  0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+75x^10+62x^11+191x^12+246x^13+431x^14+876x^15+3384x^16+5806x^17+3405x^18+928x^19+461x^20+210x^21+173x^22+52x^23+59x^24+10x^25+12x^26+2x^27

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 0.606 seconds.