The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+46x^37+354x^38+66x^39+105x^40+66x^41+325x^42+46x^43+5x^44+8x^46+1x^50+1x^60

The gray image is a code over GF(2) with n=320, k=10 and d=148.
This code was found by Heurico 1.16 in 0.0289 seconds.