The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+74x^43+368x^44+972x^45+1255x^46+1850x^47+2456x^48+2628x^49+2452x^50+1892x^51+1148x^52+676x^53+267x^54+164x^55+94x^56+44x^57+18x^58+18x^59+4x^60+2x^63+1x^64

The gray image is a code over GF(2) with n=392, k=14 and d=172.
This code was found by Heurico 1.16 in 2.3 seconds.