The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+160x^45+379x^46+878x^47+1001x^48+1226x^49+1204x^50+1190x^51+844x^52+630x^53+336x^54+186x^55+40x^56+54x^57+32x^58+18x^59+10x^61+1x^62+2x^64

The gray image is a code over GF(2) with n=400, k=13 and d=180.
This code was found by Heurico 1.16 in 0.745 seconds.