The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^53+219x^54+450x^55+685x^56+1198x^57+1800x^58+2544x^59+3240x^60+3940x^61+4479x^62+4140x^63+3461x^64+2428x^65+1564x^66+1048x^67+669x^68+390x^69+171x^70+124x^71+68x^72+42x^73+16x^74+12x^75+3x^76+6x^77+7x^78+2x^79+1x^80

The gray image is a code over GF(2) with n=496, k=15 and d=212.
This code was found by Heurico 1.16 in 18.8 seconds.