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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+376x^38+362x^40+200x^42+66x^44+16x^46+1x^48+2x^52

The gray image is a code over GF(2) with n=320, k=10 and d=152.
This code was found by Heurico 1.16 in 1.59 seconds.