The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^26+76x^27+231x^28+212x^29+765x^30+1476x^31+4278x^32+7464x^33+12077x^34+12268x^35+12088x^36+7456x^37+4344x^38+1484x^39+753x^40+216x^41+169x^42+56x^43+49x^44+12x^45+11x^46+7x^48+1x^50+1x^56

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 20.7 seconds.