The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  0  1  4  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  8  1  1  1  2  8  4  1  2  2  2  2  2  0  1
 0  2  0  2  8  0  6 14  0  8  2 10  0  6  6  0  4  2  4  6  4 14 12  2  6 12  6  8  4  4  2 10  0  4  2 14  6  0 14  6  4 10  2  8  4 12 10  4  8  0  2  2 10  8 14  8  4  8  6  4  2 12  8  6 14  2 12 12 14  8  6  8  4  8  8  4  2  8 10  4  2 10  4 10  0  8 10  4 10
 0  0  2  2  0 14  6  8  4 14 14 12  2 10  4  4  4  6  2 12  0  2 14  0  4  2 10  8  0  6 10 12 14  8 12 14  8 12 14 12  2  8  6 14 12  4  6 14  0 10  2  2 10  2  0  2  0  2  8 10 12 12 12 14  2  0  6  6  0  2  8 12 10 10  2  2  4  4  2  2 14  0 10  2  6 10  8  2  2
 0  0  0  4 12 12  8 12 12  8  4  8 12  0 12  8  0  0  8  0 12  4 12 12  4  4 12  4  0  8  8  0  0  4 12  4  8  0  0  8 12  4 12  4  4 12  8  0  8  4 12  8  0  8  4  0  8  4  0  0  4  8  4 12  8  8  4  8 12  0 12  8  4  0 12  4  0  8  8  0 12  0 12  4  0 12  0 12  4

generates a code of length 89 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+70x^83+276x^84+264x^85+363x^86+426x^87+345x^88+686x^89+354x^90+424x^91+286x^92+216x^93+253x^94+62x^95+12x^96+18x^97+20x^98+10x^99+8x^100+1x^102+1x^150

The gray image is a code over GF(2) with n=712, k=12 and d=332.
This code was found by Heurico 1.16 in 1.11 seconds.