The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^26+64x^27+186x^28+418x^29+430x^30+1532x^31+1399x^32+4684x^33+4029x^34+7052x^35+4116x^36+4752x^37+1468x^38+1524x^39+388x^40+372x^41+137x^42+68x^43+50x^44+14x^45+22x^46+4x^48+3x^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 8.69 seconds.