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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+126x^50+8x^51+285x^52+64x^53+534x^54+252x^55+868x^56+944x^57+1832x^58+1860x^59+3028x^60+1768x^61+1882x^62+868x^63+804x^64+288x^65+400x^66+84x^67+241x^68+8x^69+144x^70+78x^72+10x^74+6x^76+1x^80

The gray image is a code over GF(2) with n=480, k=14 and d=200.
This code was found by Heurico 1.16 in 6.76 seconds.