The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^45+237x^46+212x^47+362x^48+312x^49+315x^50+228x^51+207x^52+52x^53+23x^54+8x^55+5x^56+4x^57+1x^60+1x^74

The gray image is a code over GF(2) with n=392, k=11 and d=180.
This code was found by Heurico 1.16 in 0.102 seconds.