The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+66x^55+205x^56+292x^57+462x^58+640x^59+887x^60+1056x^61+1030x^62+1130x^63+886x^64+586x^65+438x^66+212x^67+135x^68+68x^69+12x^70+24x^71+19x^72+14x^73+8x^74+8x^75+10x^76+2x^78+1x^88

The gray image is a code over GF(2) with n=496, k=13 and d=220.
This code was found by Heurico 1.16 in 1.54 seconds.