The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+237x^30+260x^31+739x^32+836x^33+1370x^34+1464x^35+1335x^36+728x^37+656x^38+260x^39+215x^40+36x^41+38x^42+13x^44+3x^46+1x^48

The gray image is a code over GF(2) with n=280, k=13 and d=120.
This code was found by Heurico 1.16 in 14.4 seconds.