The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  4  2  1  1  1  2  2  1  1  4  1  4  4  4  2  2
 0 12  0  4  0  0  4 12  0  8  4  4  0 12 12  8  8  0  8  8 12 12  8  0 12  4  4 12 12  0  4 12  0  4 12 12  8  0
 0  0 12  4  0 12  4  0  8  4  0  4  0  4  8  4  4 12  4  4  0  8  4 12 12  4  0  8  8  8  4  8  4 12  0  8  4  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  8  8  8  0  8  8  0  8  8  0  8  0  8  8  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  0  8  0  8  8  8  0  0  8  0  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  0  0  0  8  0  0  0  8  0  0  8  0  8  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  8  0  0  0  8  8  8  8  0  8  8  0  0

generates a code of length 38 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+67x^30+4x^31+196x^32+76x^33+425x^34+324x^35+1113x^36+620x^37+2633x^38+620x^39+1045x^40+324x^41+368x^42+76x^43+180x^44+4x^45+83x^46+21x^48+7x^50+3x^52+1x^54+1x^56

The gray image is a code over GF(2) with n=304, k=13 and d=120.
This code was found by Heurico 1.16 in 0.945 seconds.