The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  0  1  1  1  1  1
 0  1 11  6  5  1  0  3  1  8 11  1 13  3  3 11  0
 0  0 12  0  4  0  4  0  4  4  0  4  0  4  8 12  0
 0  0  0 12  4  4  4  0  0  0  4  4  4 12  0  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+49x^10+100x^11+162x^12+772x^13+1528x^14+4740x^15+14617x^16+21508x^17+14658x^18+4812x^19+1572x^20+748x^21+144x^22+76x^23+30x^24+12x^25+5x^26+2x^28

The gray image is a code over GF(2) with n=136, k=16 and d=40.
This code was found by Heurico 1.16 in 3.65 seconds.