The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^30+36x^31+117x^32+268x^33+99x^34+760x^35+468x^36+40x^37+98x^38+36x^39+54x^40+12x^41+8x^42+1x^66

The gray image is a code over GF(2) with n=280, k=11 and d=120.
This code was found by Heurico 1.16 in 0.0622 seconds.