The generator matrix

 1  0  1  1  1  6  1 12  1 10  1  1  1  8  1  1  1 14  1  1  8  1  1  8  1  8  1 12  1  1  1  1  8  2  1
 0  1 11  6 13  1  2  1 12  1  7  5  9  1  6  3  7  1  8  5  1 14  7  1 13  1  1  1 15  6  2 14  2  6  6
 0  0 12  0  4  4  8  0  8 12 12  0  0  0  4 12  8  0  4 12 12  4  8  0  0  8  8 12  4 12  4  4  4 12  0
 0  0  0 12  0  4  4  0  0 12  8  8  8 12  4 12 12  4  8 12  8  8  8 12  4  0 12  4 12  4  0  8  4 12  0
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+102x^30+282x^31+518x^32+1032x^33+1409x^34+1544x^35+1475x^36+944x^37+493x^38+260x^39+81x^40+8x^41+11x^42+24x^43+1x^44+1x^46+2x^47+4x^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 0.485 seconds.