The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+288x^37+157x^38+276x^39+61x^40+128x^41+34x^42+68x^43+1x^44+8x^45+1x^52+1x^54

The gray image is a code over GF(2) with n=312, k=10 and d=148.
This code was found by Heurico 1.16 in 0.078 seconds.