The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+90x^42+318x^43+527x^44+1052x^45+1203x^46+1940x^47+1716x^48+2718x^49+1916x^50+1880x^51+1184x^52+930x^53+341x^54+302x^55+141x^56+42x^57+32x^58+22x^59+15x^60+10x^61+2x^62+2x^63

The gray image is a code over GF(2) with n=392, k=14 and d=168.
This code was found by Heurico 1.16 in 3.65 seconds.