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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+50x^53+114x^54+134x^55+169x^56+222x^57+441x^58+630x^59+691x^60+640x^61+397x^62+210x^63+94x^64+96x^65+77x^66+34x^67+19x^68+14x^69+25x^70+16x^71+15x^72+2x^73+2x^74+2x^76+1x^88

The gray image is a code over GF(2) with n=480, k=12 and d=212.
This code was found by Heurico 1.16 in 0.55 seconds.