The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+182x^45+408x^46+618x^47+603x^48+722x^49+507x^50+532x^51+207x^52+134x^53+100x^54+34x^55+19x^56+10x^57+9x^58+8x^59+1x^64+1x^68

The gray image is a code over GF(2) with n=392, k=12 and d=180.
This code was found by Heurico 1.16 in 0.269 seconds.