The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+61x^54+150x^55+174x^56+364x^57+343x^58+776x^59+419x^60+784x^61+321x^62+340x^63+153x^64+124x^65+32x^66+8x^67+12x^68+8x^69+6x^70+6x^71+8x^72+4x^74+1x^76+1x^98

The gray image is a code over GF(2) with n=480, k=12 and d=216.
This code was found by Heurico 1.16 in 0.52 seconds.