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

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

Homogenous weight enumerator: w(x)=1x^0+98x^61+155x^62+466x^63+532x^64+1030x^65+1206x^66+1764x^67+2015x^68+2146x^69+1990x^70+1756x^71+1119x^72+884x^73+418x^74+296x^75+156x^76+166x^77+61x^78+66x^79+11x^80+22x^81+8x^82+4x^83+4x^84+6x^85+2x^86+1x^88+1x^100

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 5.75 seconds.