The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+64x^78+168x^79+361x^80+592x^81+721x^82+884x^83+897x^84+904x^85+982x^86+820x^87+655x^88+510x^89+323x^90+170x^91+61x^92+40x^93+11x^94+4x^95+4x^96+7x^98+2x^100+2x^102+2x^104+2x^105+1x^106+2x^107+1x^110+1x^112

The gray image is a code over GF(2) with n=680, k=13 and d=312.
This code was found by Heurico 1.16 in 1.7 seconds.