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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+136x^84+388x^85+393x^86+584x^87+444x^88+508x^89+340x^90+468x^91+317x^92+228x^93+106x^94+88x^95+32x^96+28x^97+6x^98+12x^99+6x^100+1x^102+2x^106+4x^108+3x^112+1x^124

The gray image is a code over GF(2) with n=712, k=12 and d=336.
This code was found by Heurico 1.16 in 0.959 seconds.