The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1  1 12  1  1  1  1  1 10  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12  6 15  5  1  9 10 10  0  0  1  9  5  3  9  3  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  8  0  8  8  0  8  0  0  8  8  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  0  8  0  0  8  8  0  8  0  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  0  8  8  8  0  0  0  0  8  0  0  0  8  8  8  0  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  0  8  8  0  8  0  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+33x^30+136x^31+159x^32+768x^33+329x^34+1264x^35+319x^36+768x^37+144x^38+136x^39+27x^40+3x^42+5x^44+2x^46+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 0.111 seconds.