The generator matrix

 1  0  0  1  1  1 14  6  1  1  1  1  4 10 14  1  1  4  1 14  1  1  1  1  1  8 12  0  0  1  1  1  1  6  1  1  8 14 14  1  1  4  1  1  1  1  6  1  1  1  8  1  6 12 10  1  1  8  2  0  1  1
 0  1  0  0 13 13  1  2  1  1 12 12  1  1  4 10 11  1  7  1 14  2  7  2  3 10  1  1  1  5  4  8 12 10  6  9  1 12  1  5 11 14 13  9  1 10  1 14  6  7  1  1  1  1 10 10 12 10  1  1  6 14
 0  0  1 11  3  4  3  1  1 10  5  2  6  9  1 12  7  7 14 10 13 15 12 10 13  1  9  6  0  6 14  1  4  1  9  3  3  1  6  7  7  1  9  0  7  4  6  5  8  8 12 15  3  9  1  1 13  1 11 10  3 14
 0  0  0 12 12  0 12  4  0 12  0 12  4  8  8 12  0 12 12  0  8  4  0  0  4 12  8 12  8  4  8 12  4  0  0  8  8 12  4  0  4  4 12 12  4  0  8 12  4  8  4  8  0  4  8  4  8  0  4 12  0  8

generates a code of length 62 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+508x^57+1137x^58+1546x^59+1943x^60+2252x^61+2335x^62+1964x^63+1715x^64+1300x^65+725x^66+462x^67+279x^68+116x^69+45x^70+24x^71+6x^72+16x^73+6x^74+4x^75

The gray image is a code over GF(2) with n=496, k=14 and d=228.
This code was found by Heurico 1.16 in 6.39 seconds.