The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+56x^26+170x^27+414x^28+752x^29+1511x^30+2776x^31+4631x^32+7230x^33+9623x^34+10812x^35+9892x^36+7410x^37+4879x^38+2748x^39+1314x^40+706x^41+329x^42+130x^43+98x^44+30x^45+18x^46+4x^47+2x^48

The gray image is a code over GF(2) with n=280, k=16 and d=104.
This code was found by Heurico 1.16 in 30.7 seconds.