The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+126x^31+81x^32+308x^33+306x^34+452x^35+314x^36+258x^37+44x^38+118x^39+17x^40+8x^41+2x^42+8x^43+2x^44+2x^45+1x^56

The gray image is a code over GF(2) with n=280, k=11 and d=124.
This code was found by Heurico 1.16 in 0.79 seconds.