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

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

Homogenous weight enumerator: w(x)=1x^0+69x^54+82x^56+64x^57+88x^58+384x^59+728x^60+320x^61+178x^62+36x^64+48x^66+48x^68+1x^70+1x^112

The gray image is a code over GF(2) with n=480, k=11 and d=216.
This code was found by Heurico 1.16 in 0.267 seconds.