The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+142x^81+305x^82+480x^83+516x^84+480x^85+524x^86+430x^87+362x^88+268x^89+276x^90+208x^91+44x^92+28x^93+8x^94+4x^96+6x^97+3x^98+4x^101+3x^102+2x^103+1x^112+1x^118

The gray image is a code over GF(2) with n=688, k=12 and d=324.
This code was found by Heurico 1.16 in 0.869 seconds.