The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^42+72x^43+330x^44+292x^45+734x^46+840x^47+1186x^48+1188x^49+1222x^50+824x^51+713x^52+300x^53+220x^54+56x^55+52x^56+12x^57+46x^58+20x^60+6x^62+1x^64+2x^66+1x^68

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 1.08 seconds.