The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  1  2  1  4  4  1  1  1  1  1
 0 12  0  0  0  0  0  0  0 12 12  4  4  4  8  0 12  4  4  0  8  4  0 12  0  8  8 12  4  4  8 12  8 12  8
 0  0 12  0  0  0  4 12  4  4 12  0  4  8  0  8 12  0 12  8 12  4  4 12 12  4  0  4  8  8  4  0  0  8  4
 0  0  0 12  0  4  4 12  0  8 12  4 12 12  8 12 12  0  8 12  8  4 12 12  0 12  4  4  0 12 12  4  4  8  4
 0  0  0  0 12  4  0 12  4 12  8 12 12  8 12 12  8  4  8 12 12 12  8  8  8  8  8  8 12  8  4  0  8  0 12
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  0  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+143x^26+536x^28+16x^29+996x^30+224x^31+1704x^32+2032x^33+6807x^34+7744x^35+6839x^36+2032x^37+1934x^38+224x^39+894x^40+16x^41+457x^42+126x^44+28x^46+9x^48+1x^50+3x^52+2x^54

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 11.2 seconds.