The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+18x^77+101x^78+182x^79+261x^80+506x^81+836x^82+1426x^83+2500x^84+3436x^85+5195x^86+6816x^87+7517x^88+8248x^89+7561x^90+6442x^91+5282x^92+3578x^93+2405x^94+1374x^95+672x^96+554x^97+225x^98+110x^99+113x^100+40x^101+39x^102+28x^103+24x^104+4x^105+15x^106+6x^107+8x^108+2x^110+4x^112+3x^114+1x^116+2x^118+1x^120

The gray image is a code over GF(2) with n=712, k=16 and d=308.
This code was found by Heurico 1.16 in 80.6 seconds.