The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+167x^40+900x^41+1435x^42+2002x^43+2457x^44+2792x^45+2385x^46+1878x^47+1160x^48+748x^49+285x^50+96x^51+35x^52+24x^53+7x^54+6x^55+4x^56+2x^59

The gray image is a code over GF(2) with n=360, k=14 and d=160.
This code was found by Heurico 1.16 in 1.81 seconds.