The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^44+856x^45+1734x^46+2740x^47+3817x^48+5006x^49+4553x^50+5024x^51+3754x^52+2458x^53+1426x^54+768x^55+282x^56+142x^57+37x^58+28x^59+14x^60+2x^61+2x^62

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 8.11 seconds.