The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^43+761x^44+1716x^45+2950x^46+3610x^47+5125x^48+4566x^49+5008x^50+3622x^51+2676x^52+1410x^53+750x^54+286x^55+102x^56+18x^57+28x^58+6x^59+7x^60+2x^61

The gray image is a code over GF(2) with n=392, k=15 and d=172.
This code was found by Heurico 1.16 in 7.83 seconds.