The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+158x^44+176x^45+380x^46+400x^47+650x^48+640x^49+638x^50+400x^51+316x^52+176x^53+102x^54+32x^56+10x^58+9x^60+6x^62+1x^64+1x^76

The gray image is a code over GF(2) with n=392, k=12 and d=176.
This code was found by Heurico 1.16 in 0.413 seconds.