The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  8  1  1  1  8  1  1  1 12  1  2
 0  2  0  6  8  6  0 10  4  6 12 10 12 14 12 10  0 14 12 14  8  8  2  6  8  8  2  2 10 10  4  4 12 12  6  2  6  6  2  0  2  2  2 14 10  6  2 12 14
 0  0 12  0  0  4  4 12  4  0  8  4 12 12  8  0  0  0  8  0  4 12  4  4  4 12  8  4 12  8  4  0  0 12  4 12 12  8  4  8  8  0  8  8 12  4  4  0  4
 0  0  0 12  4 12  4  0  8  0 12 12  4  8  0  4  8  4  4  8 12  8  0  4  8  4 12  8  4  0  4  8 12  0  8  4  4 12  0  0  8 12 12  0 12  0 12  4  8

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

Homogenous weight enumerator: w(x)=1x^0+192x^45+56x^46+176x^47+338x^48+566x^49+317x^50+152x^51+42x^52+180x^53+10x^54+8x^55+2x^56+6x^57+1x^58+1x^88

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 15.1 seconds.