The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+40x^51+134x^52+162x^53+483x^54+772x^55+1622x^56+2668x^57+3348x^58+5084x^59+4225x^60+5096x^61+3405x^62+2644x^63+1558x^64+716x^65+402x^66+140x^67+110x^68+54x^69+28x^70+24x^71+26x^72+8x^73+10x^74+3x^76+3x^78+1x^80+1x^86

The gray image is a code over GF(2) with n=480, k=15 and d=204.
This code was found by Heurico 1.16 in 42.8 seconds.