The generator matrix

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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+266x^36+192x^37+246x^38+96x^39+121x^40+32x^41+58x^42+8x^44+2x^48+2x^52

The gray image is a code over GF(2) with n=304, k=10 and d=144.
This code was found by Heurico 1.16 in 0.0369 seconds.