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

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

Homogenous weight enumerator: w(x)=1x^0+174x^62+84x^63+400x^64+276x^65+882x^66+712x^67+1193x^68+952x^69+1150x^70+676x^71+737x^72+292x^73+386x^74+64x^75+95x^76+16x^77+42x^78+28x^80+16x^82+8x^84+6x^86+1x^88+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 2.62 seconds.