The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+28x^29+93x^30+64x^31+275x^32+548x^33+664x^34+768x^35+664x^36+548x^37+259x^38+64x^39+80x^40+28x^41+7x^46+4x^48+1x^54

The gray image is a code over GF(2) with n=280, k=12 and d=116.
This code was found by Heurico 1.16 in 8.04 seconds.