The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+364x^45+861x^46+1352x^47+1114x^48+1356x^49+1010x^50+880x^51+500x^52+412x^53+181x^54+96x^55+40x^56+12x^57+4x^58+8x^59+1x^64

The gray image is a code over GF(2) with n=392, k=13 and d=180.
This code was found by Heurico 1.16 in 0.531 seconds.