The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^30+166x^31+393x^32+792x^33+1239x^34+2382x^35+3421x^36+5398x^37+5117x^38+5234x^39+3510x^40+2606x^41+1168x^42+634x^43+336x^44+162x^45+83x^46+32x^47+16x^48+2x^49+9x^50+3x^52+1x^54

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 9.03 seconds.