The generator matrix

 1  0  1  1  1 14  1  1  0  1  1 14  1  1  0 14  1  8  1  1  1 10  1  1 12  1  0  8  0  1 12  1  1  2  1
 0  1 11  6  1  1  0  3  1  6  5  1 10  5  1  1  0  1 13 15  6  1 11  9  1  6  2  2  2  7  1  7 11  0  0
 0  0 12  0  0  0  0  4  4 12  0  4  8  4  0  8  4  4 12  8  0  4  0  4  4  0  4 12  8  4  4 12  8  4  0
 0  0  0 12  0  0  0  0  0  0  8  8  4  4 12  4 12  4  8  0  8 12 12  4  4  4  4  4 12  4  8 12 12  0  0
 0  0  0  0  4  4 12  4  4  4  8  0 12  8  4  0  8 12  8  8  0  8  0  8  0 12  0  4  0  4  8  4  8  4  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  0  8  0  8  8  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^26+88x^27+233x^28+392x^29+904x^30+1720x^31+4660x^32+6690x^33+12596x^34+10922x^35+12535x^36+6622x^37+4765x^38+1782x^39+823x^40+366x^41+239x^42+78x^43+52x^44+10x^45+7x^46+2x^47+1x^66

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 21.2 seconds.