The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  4  1  1  1  1  1  1  4  1  2  2  1  4  2  8  4  4  1  4  1  1
 0 12  0  0  0  0  0  0  0  0  4 12 12  8  4  4  8  4  0  4  0  4  8  4  8  4 12 12  0  4  8 12  4  8 12 12 12  4 12  4  8  0  4  8 12 12  4  4  4  8  0  4  8  0  0  4 12 12  0
 0  0 12  0  0  0  4 12 12  8  4  4  8  4  4  0  8 12  8  4  0  8  8 12  4  8  8  8  4  8  4 12 12  4  0  8  0  8  0  4  0  0  0  0  0 12  8 12  0  4  0  4  4  4 12  4  4 12  0
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  4 12  4  8  0  8 12  4  8 12  4  4  0 12  4  0  8  4 12  8  4  4 12  4 12  4  0  8  0  4  0  4 12  8  8  8  8  8 12 12  8  0  4  8  0
 0  0  0  0 12  4  8  4  4  0  8  4 12 12  4  8  8  4 12  0  4 12  4 12  0  4  8  8  4 12  8  8  8  8 12  4 12 12  4  4 12  8  4 12 12  0  4  8  4 12  4  0  8  8  8 12  0  8  0
 0  0  0  0  0  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  0  8  0  0  8  8  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+32x^50+100x^51+137x^52+126x^53+201x^54+446x^55+444x^56+820x^57+1260x^58+1130x^59+1232x^60+830x^61+447x^62+434x^63+170x^64+114x^65+95x^66+54x^67+48x^68+28x^69+12x^70+8x^71+13x^72+2x^73+4x^75+3x^76+1x^90

The gray image is a code over GF(2) with n=472, k=13 and d=200.
This code was found by Heurico 1.16 in 1.62 seconds.