The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^10+70x^11+177x^12+216x^13+356x^14+818x^15+1449x^16+10068x^17+1480x^18+842x^19+390x^20+208x^21+164x^22+62x^23+30x^24+4x^25+4x^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 0.741 seconds.