The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^83+495x^84+638x^85+865x^86+906x^87+886x^88+842x^89+904x^90+692x^91+763x^92+538x^93+300x^94+112x^95+51x^96+34x^97+33x^98+6x^99+23x^100+12x^101+24x^102+2x^103+4x^104+1x^106+1x^116+1x^118

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 1.86 seconds.