The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^37+386x^38+376x^39+337x^40+240x^41+212x^42+124x^43+75x^44+56x^45+10x^46+12x^47+2x^48+4x^49+1x^52

The gray image is a code over GF(2) with n=320, k=11 and d=148.
This code was found by Heurico 1.16 in 0.063 seconds.