The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^61+230x^62+588x^63+1321x^64+1694x^65+2531x^66+3572x^67+4244x^68+4706x^69+4072x^70+3520x^71+2546x^72+1630x^73+1040x^74+432x^75+276x^76+112x^77+80x^78+54x^79+21x^80+12x^81+11x^82+8x^83+6x^84+3x^86+2x^87+1x^88+1x^94

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.