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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+164x^62+56x^63+452x^64+264x^65+898x^66+756x^67+1087x^68+956x^69+1212x^70+688x^71+702x^72+304x^73+374x^74+36x^75+129x^76+12x^77+44x^78+20x^80+20x^82+8x^84+8x^86+1x^104

The gray image is a code over GF(2) with n=552, k=13 and d=248.
This code was found by Heurico 1.16 in 1.73 seconds.