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  2  0  2  1  1  1  2  2  1  1  1  1  2  2  4  8  4  2  2  0  1  2  2  1  4  2  1  2  1  2  8  8 12  4  1  1  2
 0  2  0  0  0  2 14  2  4  4  6  4  2  6 12  6  4 12  0  6 10  2 12 14  4  8 14 14 14 14 12 12  2  8 14  2 10 12 12  2  6  2  2 12 14 10  4  2  4 12  4 14 12  2  2  2  8 12 14 12
 0  0  2  0  2  2  2  8 10  4  0  0  8 14  2  6 14  8  2  2  6  4  0 12  2  2  4 14  2  8 12 14 12  0  4  6  6  2  8  4 10  4  6 12  8  8 12 10  6 10  2  0  6 14  6  0  2 10  2 10
 0  0  0  2  2  0 10  2  8 12  4 10 14 12  2 10  0  6  6 12  2  6  4 14  8  0  4 14  8 12 14  2 14  8  0  2 10 10  2 10  8 10  6  2 12 10  4 12  6 14  4 10 12  4  8  0  4  4  6  6
 0  0  0  0  4  0  4  0  0 12  4  4 12  4  8  8 12  4  4 12  4  8  0  8 12  8  4 12 12  8 12  8  4 12  8  8  4  4 12 12  4 12  4  0 12  0  4  8  4  4  0  4  4  0  0  8  4 12  4  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  0  8  0  8  8  8  0  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+190x^51+488x^52+932x^53+1462x^54+2342x^55+3342x^56+5250x^57+6162x^58+8652x^59+7842x^60+8678x^61+6260x^62+5482x^63+3347x^64+2302x^65+1221x^66+688x^67+440x^68+230x^69+118x^70+48x^71+22x^72+16x^73+8x^74+6x^75+6x^76+1x^82

The gray image is a code over GF(2) with n=480, k=16 and d=204.
This code was found by Heurico 1.16 in 64 seconds.