The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  2  8  1  1  1  1  8  1  1  2  1  4 12  1  2  1  2  1
 0  2  0  6  4  6 12  2  8  0  6 14  4  4  2  6 10 14  2  2  2  0 10  2  2  6  2  8  2  2  0 14  8  6 14
 0  0 12  0  4  0  0  8  0  4  4 12  8  4  8  8 12  8  0 12  8  4  4 12  8 12  0  4  0  4 12  4  4  4  8
 0  0  0 12  0  0  8  4  4  4  4  8 12  4  8  0  4  4 12  0  0  4  4  8  4  4 12  8  4  4  4  8 12 12 12
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  8  8  8  8  0  0  0  8  8  0  0  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+79x^30+126x^31+353x^32+466x^33+743x^34+634x^35+724x^36+446x^37+318x^38+98x^39+58x^40+14x^41+4x^42+6x^43+16x^44+2x^45+7x^46+1x^50

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 0.199 seconds.