The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  8  1  2  4  1  2  1  1  1  1  1  1  1  1  2  8  2  2  1  1  2  1
 0  2  0  6  4  6 12  2  8  0  6  6  4  4 14  2  2 10 14  2 10 14  2 10  8  6 14 12  8 12  6  2  2  8  8  0  4 10
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  0  4  4  4  0  4 12  4 12  8 12 12 12  4  8 12  4  0  0  8 12  0 12 12
 0  0  0 12  0  0  8 12 12 12 12  8  4 12  0  4  8  0  4  0 12  8  8  4  8  4  0  4 12  4 12 12 12  4  0 12 12 12
 0  0  0  0  8  0  8  8  0  0  8  0  8  8  8  8  8  8  8  0  8  8  8  0  0  0  0  0  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  0  0  0  0  8  8  8  0  8  0  8  8  8  0  8  8  8  0  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+134x^32+108x^33+340x^34+392x^35+1093x^36+1292x^37+1558x^38+1312x^39+1030x^40+372x^41+288x^42+88x^43+99x^44+20x^45+46x^46+10x^48+8x^50+1x^56

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 0.851 seconds.