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

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

Homogenous weight enumerator: w(x)=1x^0+114x^42+322x^43+467x^44+1126x^45+1481x^46+2808x^47+3291x^48+4412x^49+4649x^50+4620x^51+3413x^52+2762x^53+1351x^54+996x^55+413x^56+258x^57+137x^58+74x^59+28x^60+16x^61+12x^62+12x^63+3x^64+2x^65

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 14.2 seconds.