The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+169x^44+750x^45+1577x^46+2958x^47+3798x^48+4648x^49+5219x^50+4798x^51+3693x^52+2624x^53+1333x^54+742x^55+265x^56+104x^57+53x^58+10x^59+10x^60+2x^61+8x^62+4x^63+2x^70

The gray image is a code over GF(2) with n=400, k=15 and d=176.
This code was found by Heurico 1.16 in 7.49 seconds.