The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  2  8  1  4
 0  2  0  0  0  2 14  2 14 12  4 14  2 10  0 14  2
 0  0  2  0  2  2 10  4  0  2  6  6  6  4  4  6  2
 0  0  0  2  2  0 14  6  4  4  2  2  4  2  2 10  8
 0  0  0  0  8  0  0  0  0  8  0  8  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+82x^11+436x^12+990x^13+3541x^14+6826x^15+13357x^16+14918x^17+13592x^18+6838x^19+3460x^20+986x^21+402x^22+78x^23+26x^24+2x^25+1x^30

The gray image is a code over GF(2) with n=136, k=16 and d=44.
This code was found by Heurico 1.16 in 17.3 seconds.