The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  2  0  2  1
 0  2  0 14  0  6  0 10  4  6 12  2  4 14 12 10  8  6 12 14  8 10  4 10  8 14  8  6 12  2  4  2  6  2  8 14  2 12  0
 0  0 12  4  8 12  4  8  4  0  0  4 12  8  8 12  8  8 12 12  4  0  0  4  0  0 12  4  4 12  8  8  0  4 12  4  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^37+136x^38+166x^39+103x^40+42x^41+15x^42+2x^43+1x^66

The gray image is a code over GF(2) with n=312, k=9 and d=148.
This code was found by Heurico 1.16 in 0.0323 seconds.