The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+182x^83+790x^84+1244x^85+1750x^86+2166x^87+1827x^88+1714x^89+1744x^90+1426x^91+1106x^92+878x^93+598x^94+382x^95+223x^96+150x^97+108x^98+32x^99+35x^100+14x^101+8x^102+4x^103+1x^108+1x^112

The gray image is a code over GF(2) with n=712, k=14 and d=332.
This code was found by Heurico 1.16 in 3.99 seconds.