The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+82x^61+303x^62+464x^63+1308x^64+1662x^65+2744x^66+3498x^67+4434x^68+4158x^69+4478x^70+3326x^71+2601x^72+1534x^73+1062x^74+478x^75+330x^76+108x^77+101x^78+34x^79+25x^80+4x^81+10x^82+8x^83+4x^84+4x^85+6x^86+1x^88

The gray image is a code over GF(2) with n=552, k=15 and d=244.
This code was found by Heurico 1.16 in 14.3 seconds.