The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+174x^50+80x^51+503x^52+744x^53+1473x^54+2728x^55+3383x^56+5160x^57+4428x^58+5192x^59+3330x^60+2680x^61+1428x^62+696x^63+383x^64+120x^65+144x^66+8x^67+61x^68+27x^70+17x^72+6x^74+2x^76

The gray image is a code over GF(2) with n=464, k=15 and d=200.
This code was found by Heurico 1.16 in 21.7 seconds.