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  1  1  1  2  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  4  1  1  2  1  4  4  1  2
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4 12  0  8  4  4  8  8  4  8  0  4  4  4  4  4  8  8 12  8  0  4  0 12  4 12  0 12 12  8 12  0  4  8  4  0
 0  0 12  0  4  4  4  0  8  0  4 12  4  4  0  8  0  8 12  8 12 12 12  0 12  8  4  8  0 12  8  4  0 12  8  0  4 12  0  0 12  4  4  8 12  8  0 12  8 12
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  4  8  0 12  4  4 12  8  0 12  4 12  4  8 12  0  8  0  8  0  4  8 12  0  0  8  8 12  8  8  4  0  4  4  0  0
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+66x^45+88x^46+122x^47+195x^48+336x^49+485x^50+340x^51+181x^52+96x^53+52x^54+44x^55+4x^56+8x^57+10x^58+4x^59+2x^60+6x^61+4x^62+2x^63+1x^66+1x^84

The gray image is a code over GF(2) with n=400, k=11 and d=180.
This code was found by Heurico 1.16 in 79.6 seconds.