The generator matrix

 1  0  1  1  1 14  1  1  8  1  6  1  1  1 12  1  1  2 10  0  1  1  1  4  1 12  1  1  1  6 14  2 12  1  1  1  8  1
 0  1 11 14 13  1  3  0  1  6  1  1  5 12  1  2 15  1  1  1 10  7 14  1  0  1  9 12 13  1  1  8  1  7 12 11  4  8
 0  0 12  4  4  4  0 12  4  0  8 12  0  8  0  4  0  4  0  8  8 12 12 12  0  0  0  8  4  8 12 12  0 12  0  4  4  4
 0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  0  8  8  0  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0  8  0  8  8  0  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8
 0  0  0  0  0  8  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  8  8  0  0  8  8  0  0  0  8  8  0  8
 0  0  0  0  0  0  0  8  8  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+40x^30+74x^31+192x^32+528x^33+953x^34+2482x^35+3393x^36+6208x^37+5200x^38+5964x^39+3405x^40+2640x^41+928x^42+428x^43+156x^44+96x^45+38x^46+10x^47+17x^48+7x^50+2x^51+3x^52+2x^54+1x^56

The gray image is a code over GF(2) with n=304, k=15 and d=120.
This code was found by Heurico 1.16 in 6.47 seconds.