The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+53x^36+258x^37+96x^38+246x^39+81x^40+206x^41+47x^42+26x^43+8x^44+1x^50+1x^60

The gray image is a code over GF(2) with n=312, k=10 and d=144.
This code was found by Heurico 1.16 in 0.0269 seconds.