The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+146x^83+455x^84+674x^85+720x^86+912x^87+923x^88+744x^89+925x^90+846x^91+638x^92+588x^93+314x^94+124x^95+82x^96+32x^97+21x^98+14x^99+6x^100+10x^101+1x^102+4x^103+4x^104+1x^106+2x^107+1x^108+1x^110+2x^112+1x^122

The gray image is a code over GF(2) with n=712, k=13 and d=332.
This code was found by Heurico 1.16 in 2.17 seconds.