The generator matrix

 1  0  1  1  1 14  1  1  8  1  1 12  6  2  2  2  1
 0  1 11 14  5  1  8 13  1  2  3  1  1  1 14  8  0
 0  0 12  4  0  4  4  4 12  4  0  8  0  4  4 12  0
 0  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  0
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+39x^12+106x^13+206x^14+966x^15+1936x^16+1716x^17+1926x^18+940x^19+197x^20+98x^21+42x^22+14x^23+3x^24+2x^26

The gray image is a code over GF(2) with n=136, k=13 and d=48.
This code was found by Heurico 1.16 in 0.112 seconds.