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

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

Homogenous weight enumerator: w(x)=1x^0+120x^54+88x^55+222x^56+104x^57+757x^58+272x^59+1017x^60+432x^61+428x^62+280x^63+127x^64+104x^65+90x^66+38x^68+12x^70+2x^72+1x^74+1x^108

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 16.4 seconds.