The generator matrix

 1  0  0  0  1  1  1  2 10  1  8  1  1  0  1  1  1 14 14 10  2  1 10  1  2  1  2  1  1  0  6 10  6  1  1
 0  1  0  0  0  9  5  1  1 12  6  3  0  1  5 14  6  1  2  1  8 11  1  9  4 14  1  4 11  1  0  1  1  0  0
 0  0  1  0  1  1  4  5 14  6  1 15  3  7 14  7  9  5  1  7  1  4  6  9  1  2  2  7 13  0  4  1  4  3  0
 0  0  0  1  1  4  1  1  7  5  1  9  6 10  6  9 10 11  1  4 12  9  7  2  6  4  8  0 13  5  1 12  7  7  8
 0  0  0  0 12  0  0  0  0  0  0  0  0  8  8  8  8  4  4  4  4  4 12 12  8  4  8 12 12  4 12  8  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+162x^28+864x^29+3442x^30+7844x^31+17203x^32+30410x^33+45670x^34+50132x^35+46452x^36+30942x^37+17554x^38+7308x^39+2780x^40+918x^41+338x^42+92x^43+26x^44+2x^45+4x^46

The gray image is a code over GF(2) with n=280, k=18 and d=112.
This code was found by Heurico 1.16 in 287 seconds.