The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^61+554x^62+1244x^63+2085x^64+3778x^65+4899x^66+7726x^67+7431x^68+10176x^69+7439x^70+8040x^71+4748x^72+3608x^73+1787x^74+872x^75+546x^76+260x^77+148x^78+36x^79+30x^80+30x^81+17x^82+2x^83+7x^84+3x^86+1x^90

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 42.5 seconds.