The generator matrix

 1  0  1  1  1 14  1  1 14  1  1  6  2  2  8  1  1
 0  1 11  6  5  1 11  0  1 14 13  1 10 14  1  0  8
 0  0 12  0  0  0  0  4  4  4  8  4  4  4  4  8  0
 0  0  0 12  0  4  4  4  8  8  4  4 12  8  0  8 12
 0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  8

generates a code of length 17 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+48x^11+114x^12+332x^13+1059x^14+2912x^15+7523x^16+8780x^17+7550x^18+2896x^19+1054x^20+356x^21+92x^22+32x^23+12x^24+4x^25+2x^26+1x^30

The gray image is a code over GF(2) with n=136, k=15 and d=44.
This code was found by Heurico 1.16 in 6.84 seconds.