The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+156x^85+722x^86+740x^87+592x^88+396x^89+458x^90+240x^91+193x^92+208x^93+116x^94+76x^95+113x^96+32x^97+40x^98+8x^99+2x^100+1x^104+1x^108+1x^112

The gray image is a code over GF(2) with n=712, k=12 and d=340.
This code was found by Heurico 1.16 in 0.529 seconds.