The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+31x^30+150x^31+246x^32+546x^33+627x^34+922x^35+619x^36+540x^37+232x^38+140x^39+25x^40+2x^41+4x^42+2x^43+1x^44+1x^46+2x^47+4x^48+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 0.121 seconds.