The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^42+166x^43+209x^44+472x^45+567x^46+1046x^47+1053x^48+1340x^49+896x^50+924x^51+559x^52+490x^53+165x^54+118x^55+49x^56+32x^57+18x^58+18x^59+16x^60+2x^61+4x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=392, k=13 and d=168.
This code was found by Heurico 1.16 in 1.06 seconds.