The generator matrix

 1  0  1  1  1  6  1  1 12 10  1  1  1  1  8  1 14  1  1  4  1  1  2  1  1  1  2  1  0  1  1  1  6  1  1  8  1  1 10  1  1 12  1  1  1  1  8  1  1  1  2  4  0  1  1  1 10  1  1  1  0  1  0  4  1  6  1  2  1
 0  1 11  6 13  1 12  3  1  1 10  5 15  8  1  1  1 14  4  1  7  2  1  9 11  6  1 13  1  2  0  3  1 12  1  1  5  7  1  3 11  1 10  2  5 14  1  6  3 14  1  1  1 12  6  3  1  8  8  4  1  8  1  2  5  1  6  2  0
 0  0 12  0  4  0  0  8  8  0  0  0  8  4  4 12  4  4 12  4  4 12  4  0 12  0 12  4  8 12  8  8  0  8 12  4  8 12  8  0 12  8  0 12  0 12  4  8 12  4  8 12  8  0 12  8  0 12  4  4  4  8  8  4  0  8  8 12  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  8  8  8  0  0  0  8  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  0  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  8  8  8  0  0  8  8  8  8  0  8  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  0  0  8
 0  0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  0  8  0  0  0  8  8  8  0  0  0  0  0  8  8  0  0  0  0  8
 0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  0  0  0  0  8  8  0  0  0  8  8  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  0  0  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+42x^61+133x^62+320x^63+455x^64+808x^65+1360x^66+1666x^67+2469x^68+2100x^69+2370x^70+1542x^71+1323x^72+852x^73+455x^74+296x^75+85x^76+30x^77+24x^78+8x^79+12x^80+4x^81+8x^82+6x^83+5x^84+4x^85+2x^87+1x^88+1x^90+1x^92+1x^94

The gray image is a code over GF(2) with n=552, k=14 and d=244.
This code was found by Heurico 1.16 in 4.18 seconds.