The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1  1 10  1  1  1 12  0  1  6  1  1  1  1  1  0  1  1  2
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9 10  1  0  9 15  1  1  3  1  6  5 12 10  6  1  5  3 12
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  0  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  8  0  0  8  8  0  0  8  0  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  8  0  0  0  8  0  8  0  0  0  0  8  0  8  8  0  8  0

generates a code of length 38 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+87x^32+60x^33+260x^34+496x^35+1122x^36+1164x^37+1804x^38+1120x^39+1226x^40+436x^41+300x^42+48x^43+50x^44+4x^45+4x^46+6x^48+4x^52

The gray image is a code over GF(2) with n=304, k=13 and d=128.
This code was found by Heurico 1.16 in 0.439 seconds.