The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1  1 10  1  1  8 10  1  1  1 12  1  4  1  1  6 14  1  1  1  1  1  1  1  1  1 14  1  1  1  6  1  2  1  1  1  1  1
 0  1 11  6 13  1  0 11  1  6 13  1  2  7  1  1  8  1  1  6  7 12  1  1  1 11  5  1  1 14  3  9  4  2 11 10 12  3  1  4 10 11  1  4  1 15  2  1  6  3
 0  0 12  0  4  0  0  8  8  0  0  8  0  8  0 12  4  4 12 12 12  4  0  0  8 12 12  4 12  8  0  8 12 12  0  4  0  4 12  4 12  4  8  0  4  0  8 12 12  8
 0  0  0 12  0  0 12 12 12  8  4  4 12  4  8  0  0  8 12 12  0  4  8 12 12  0  4 12  8 12  0  8  8  0  4  4  0 12  0  0  4  4  8  4  8  0 12  0 12  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  0  8  8  8  8  8  0  0  0  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  0  0  0  0  8  8  0  8  0  8  0  0  8  0  8  8  8  0  8  0  0  0  0  0  8
 0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  8  0  8  8  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  0  8  0  8  0  0  8  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+90x^42+28x^43+440x^44+444x^45+1411x^46+2276x^47+3949x^48+4932x^49+5752x^50+4932x^51+3902x^52+2276x^53+1334x^54+444x^55+345x^56+28x^57+94x^58+58x^60+23x^62+8x^64+1x^72

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 9.99 seconds.