The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+162x^81+946x^82+1368x^83+1577x^84+1920x^85+1736x^86+1842x^87+1743x^88+1494x^89+1254x^90+812x^91+597x^92+412x^93+192x^94+130x^95+92x^96+44x^97+44x^98+8x^99+6x^100+4x^102

The gray image is a code over GF(2) with n=696, k=14 and d=324.
This code was found by Heurico 1.16 in 4.42 seconds.