The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+178x^32+148x^33+656x^34+1120x^35+1934x^36+2788x^37+2698x^38+2880x^39+1946x^40+1148x^41+574x^42+96x^43+144x^44+12x^45+38x^46+19x^48+2x^50+2x^52

The gray image is a code over GF(2) with n=304, k=14 and d=128.
This code was found by Heurico 1.16 in 1.86 seconds.