The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+146x^69+514x^70+1358x^71+2719x^72+3776x^73+5801x^74+6654x^75+8142x^76+8192x^77+7939x^78+6502x^79+5444x^80+3478x^81+2403x^82+1242x^83+608x^84+314x^85+120x^86+68x^87+70x^88+14x^89+22x^90+8x^92+1x^94

The gray image is a code over GF(2) with n=616, k=16 and d=276.
This code was found by Heurico 1.16 in 48 seconds.