The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+51x^26+84x^27+187x^28+316x^29+574x^30+946x^31+2343x^32+2654x^33+7163x^34+4288x^35+6974x^36+2620x^37+2392x^38+1020x^39+540x^40+288x^41+173x^42+60x^43+63x^44+8x^45+10x^46+2x^47+4x^48+2x^49+5x^50

The gray image is a code over GF(2) with n=280, k=15 and d=104.
This code was found by Heurico 1.16 in 8.89 seconds.