The generator matrix

 1  0  1  1  1  6  1 12  1  1 10  1  1  1  8  1  1 14  1  1  2  1  1  0  1  1 12  1  1  1  1  1  4  1  2  8  2  1
 0  1 11  6 13  1 12  1  3 10  1  1  7  8  1 14  5  1  4 15  1  6 13  1 10  1  1 14  5 15  1  1  1 15 10  4  6  0
 0  0 12  0  4  0  0  8  0  8  8  4  4  4 12 12  8 12  4  8 12  8 12  8  0  4  8  4  0  0  4  4  4  0 12 12  8  0
 0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  8  0  8  8  8  0
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  8  0  8  0  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+37x^32+210x^33+150x^34+832x^35+622x^36+1870x^37+972x^38+1652x^39+596x^40+830x^41+136x^42+200x^43+16x^44+34x^45+20x^46+4x^47+6x^48+2x^50+2x^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 0.454 seconds.