The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^61+552x^62+1140x^63+2441x^64+3308x^65+5727x^66+6810x^67+8561x^68+8164x^69+9203x^70+6916x^71+5584x^72+3186x^73+1948x^74+928x^75+592x^76+152x^77+150x^78+40x^79+34x^80+18x^81+17x^82+6x^83+3x^84+2x^85+3x^86

The gray image is a code over GF(2) with n=552, k=16 and d=244.
This code was found by Heurico 1.16 in 42.7 seconds.