The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^44+422x^45+741x^46+1110x^47+1197x^48+1278x^49+1151x^50+982x^51+653x^52+368x^53+78x^54+30x^55+34x^56+26x^57+12x^58+6x^59+4x^60+2x^61+1x^62+1x^66+1x^68

The gray image is a code over GF(2) with n=392, k=13 and d=176.
This code was found by Heurico 1.16 in 0.714 seconds.