The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^30+60x^31+105x^32+158x^33+233x^34+546x^35+915x^36+1300x^37+1520x^38+1290x^39+924x^40+528x^41+209x^42+134x^43+82x^44+60x^45+37x^46+18x^47+18x^48+2x^49+5x^50+3x^52+1x^58

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 0.846 seconds.