The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+80x^42+334x^43+661x^44+954x^45+1440x^46+2424x^47+3417x^48+4520x^49+5145x^50+4612x^51+3553x^52+2234x^53+1433x^54+902x^55+472x^56+316x^57+145x^58+60x^59+20x^60+24x^61+12x^62+2x^63+4x^64+2x^67+1x^70

The gray image is a code over GF(2) with n=400, k=15 and d=168.
This code was found by Heurico 1.16 in 13.1 seconds.