The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+50x^53+533x^54+1974x^55+4218x^56+8208x^57+13679x^58+20636x^59+28543x^60+34082x^61+36954x^62+35330x^63+28899x^64+21450x^65+13869x^66+7312x^67+3545x^68+1712x^69+735x^70+252x^71+72x^72+42x^73+22x^74+16x^75+2x^76+4x^77+4x^81

The gray image is a code over GF(2) with n=496, k=18 and d=212.
This code was found by Heurico 1.16 in 581 seconds.