The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+194x^28+180x^29+840x^30+928x^31+2359x^32+3432x^33+5702x^34+5272x^35+6106x^36+3416x^37+2246x^38+944x^39+762x^40+136x^41+162x^42+24x^43+44x^44+4x^45+10x^46+6x^48

The gray image is a code over GF(2) with n=280, k=15 and d=112.
This code was found by Heurico 1.16 in 8.56 seconds.