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

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

Homogenous weight enumerator: w(x)=1x^0+176x^45+50x^46+226x^47+335x^48+510x^49+348x^50+196x^51+12x^52+140x^53+18x^54+26x^55+3x^56+6x^57+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 75.1 seconds.