The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  6  1  1  1 12  1  1 10  1  1  1  1  1  0  1  1  6  1  1 10  6  1 10 12  1 10  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  1  5 15 12  1 10  9  1  9  6  3  0  5  1 12 10  1  0 12  1  1 15  1  1  5  1  3 15  6  9  6  3 15  1 15  5 12  3  5  6 15  3
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  0  8  0  8  8  8  0  8  0  8  0  0  0  8  8  0  8  0  8  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  8  0  0  0  0  8  0  0  8  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  8  8  0  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  0  0  0  8  0  0  8  0  8  0  8
 0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  8  0  8  0  0  0  8  0  8  0  8  0  0  8  8  8  8  0  8  8  0  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  0  8  8  0  8  8  0  8  0  0  0  0  8  8  8  8  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  0  0  0  0  0  0  0  8  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  0  0  0  0  8  0  8  8  0  0  8  0  8  8  0  0  8  0  8  0  8  8  0  0  8  0  0  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+57x^50+44x^51+241x^52+308x^53+730x^54+1308x^55+1822x^56+2436x^57+2543x^58+2436x^59+1798x^60+1308x^61+711x^62+308x^63+212x^64+44x^65+43x^66+14x^68+4x^70+4x^72+5x^74+2x^76+3x^78+1x^80+1x^84

The gray image is a code over GF(2) with n=464, k=14 and d=200.
This code was found by Heurico 1.16 in 4.03 seconds.