The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^10+58x^11+203x^12+306x^13+558x^14+826x^15+1191x^16+9890x^17+1226x^18+862x^19+588x^20+294x^21+170x^22+46x^23+64x^24+6x^25+16x^26+1x^28

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 0.569 seconds.