The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^84+328x^85+510x^86+488x^87+448x^88+312x^89+428x^90+504x^91+480x^92+224x^93+96x^94+64x^95+31x^96+6x^98+2x^100+2x^102+2x^104+6x^106+1x^124+1x^132

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 0.886 seconds.