The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^30+228x^31+196x^32+592x^33+572x^34+978x^35+528x^36+560x^37+145x^38+130x^39+42x^40+64x^41+20x^42+6x^43+2x^47+1x^48+1x^54

The gray image is a code over GF(2) with n=280, k=12 and d=120.
This code was found by Heurico 1.16 in 0.162 seconds.