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

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

Homogenous weight enumerator: w(x)=1x^0+572x^57+1033x^58+1658x^59+1856x^60+2210x^61+2321x^62+1970x^63+1798x^64+1356x^65+681x^66+458x^67+207x^68+166x^69+27x^70+42x^71+9x^72+16x^73+2x^74+1x^76

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 12.2 seconds.