The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+52x^62+104x^63+223x^64+334x^65+633x^66+1108x^67+1890x^68+3232x^69+5045x^70+7432x^71+8417x^72+8626x^73+8744x^74+7188x^75+5044x^76+3130x^77+1917x^78+1136x^79+530x^80+312x^81+140x^82+88x^83+70x^84+38x^85+41x^86+24x^87+13x^88+8x^89+2x^90+8x^91+4x^92+1x^94+1x^98

The gray image is a code over GF(2) with n=584, k=16 and d=248.
This code was found by Heurico 1.16 in 62.2 seconds.