The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+234x^45+919x^46+1688x^47+1896x^48+2318x^49+2760x^50+2164x^51+1675x^52+1406x^53+801x^54+280x^55+99x^56+74x^57+27x^58+28x^59+9x^60+4x^62+1x^66

The gray image is a code over GF(2) with n=400, k=14 and d=180.
This code was found by Heurico 1.16 in 1.86 seconds.