The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  2
 0  8  0  0  0  0  0  8  0  0  0  8  8  0  8  8  0  8  8  0  0  0  0  8  0  0  8  0  8  8  8  0  8  0  8
 0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  0  8  0  8  8  0  0  8  8  0  8  8  0  8  8  0  0  0  0  8  8
 0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  8
 0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0
 0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  8  0  8  0  8  8  8  8  0  0  0  0  8  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+34x^30+64x^32+38x^34+768x^35+32x^36+50x^38+27x^40+2x^42+4x^46+3x^48+1x^56

The gray image is a code over GF(2) with n=280, k=10 and d=120.
This code was found by Heurico 1.16 in 1.3 seconds.