The generator matrix

 1  0  1  1  1  4  1  1  6  1  1 10  8  1  1  1  1  6  1  1  6  1  1  8  1  0  1  1  1  1 12 12  1  1 10 12  1 14  1  1 14  1  1  6  1  1  8  4  1  2  8  2  1  1  1  2  2  1  1 12  0  1
 0  1  1  0 11  1 14 15  1  9 10  1  1  4  1  3 12  1  2 11  1  1  8  1 15  1  3 14  5  6  1  1  3  0  1  1 10  1  7 10  1  9  3  1  2 12  2  8  1  0  2  1  7  6  7  8 14  5  1  1  4  0
 0  0  2  6  0  2  8  2  4  0 14  2 12  2  6 12 12 12 12 10 14  8 14  0 14  6 12  2  4 12 14 14  4  4 12 12  6  8 12  2 14  4 14  2 14  6  2  2  8  6 10  2 14  2  0 10 14 12 14 10  2  0
 0  0  0 12  0  0  0  0  0  0 12  8  0  8  4 12 12  4  4  4  4  4  8 12  8  0  8 12  8 12 12  4  4  8 12  0  4 12  4  8  4  4 12  4  0  4  8 12  8 12  4  4  0 12  4 12  8  8 12  4  8  0
 0  0  0  0 12  8  4  4 12  8  4 12  8  0  8  4  0  0 12  4 12  0 12  0  0  8 12  4  8  0  0  4  0 12  4 12  0 12  4 12  8  4  8 12  4  4  0  4  8  8 12  4 12 12 12  8  8 12 12  4 12  0

generates a code of length 62 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+67x^54+244x^55+608x^56+1014x^57+1798x^58+2878x^59+3478x^60+4166x^61+4675x^62+4222x^63+3325x^64+2494x^65+1702x^66+990x^67+525x^68+288x^69+160x^70+54x^71+26x^72+16x^73+14x^74+12x^75+3x^76+6x^77+2x^80

The gray image is a code over GF(2) with n=496, k=15 and d=216.
This code was found by Heurico 1.16 in 12.4 seconds.