The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  1  4  1  1  1  4  1  2  1
 0 12  0  0  0  0  0  0  0  0  0  0 12  4 12 12  8  4  4 12  8  0  8  4  8 12  4  8  8  0  4  4  4 12  4
 0  0 12  0  0  0  0  0  0  0  0  4  0 12 12  4  4  8  8 12 12  8  0  0  8  8 12 12  4  4  8  4  4  4  4
 0  0  0 12  0  0  0  4 12 12  8  4 12  8  4  0 12  4  8  8  8  0  4 12  0  4  0  0 12  0  0  4 12  8 12
 0  0  0  0 12  0  4  4  4  0  8  0  0  0  0  8  0  4  4  4  8  4  0  4  4  8 12  8 12  4  4  4 12  0  8
 0  0  0  0  0 12  4  8  4  4  0  8  8  0  8 12 12  4  8  8 12  4  0  4  0 12  4 12  0  4 12  0 12 12  4
 0  0  0  0  0  0  8  8  0  8  8  0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  8  8  0  8  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+146x^26+522x^28+844x^30+96x^31+1799x^32+2432x^33+6880x^34+7232x^35+6966x^36+2432x^37+1916x^38+96x^39+784x^40+414x^42+167x^44+40x^46+1x^60

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 11.4 seconds.