The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^28+188x^29+587x^30+1114x^31+2122x^32+3648x^33+5475x^34+6356x^35+5493x^36+3946x^37+2033x^38+946x^39+527x^40+148x^41+89x^42+32x^43+11x^44+6x^45+8x^46+2x^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 5.62 seconds.