The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^69+608x^70+1386x^71+2775x^72+3520x^73+6072x^74+6326x^75+8233x^76+7066x^77+9196x^78+6458x^79+5753x^80+3312x^81+2436x^82+1110x^83+528x^84+262x^85+198x^86+60x^87+12x^88+30x^89+16x^90+20x^91+6x^92+2x^94+3x^96+2x^97+1x^100

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 49.4 seconds.