The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  2  1  1  1  1  1  2  1  1  0  4  4  2  2  8  1  8  1  1  4  4  1
 0  2  0  2  0  8 10  2  4  6  4 14 12  4  6  6  0 10  4  6  6  8  8 10  4 10  4  2  8  6 12 14  0  4 14 14  8  4  6  6 12  0  4  0  2  0 10 10  2  6  6  0  8  2 12  2  2  0  4  8  6  4  0  4  6 10  2  4 10  2  2  8  8  0  0  8  2  4 12  2  6  2 10  4  0  0 12  2  4
 0  0  2  2 12 14  6  4  4 14  2  0  8 14 10  4  0 10 10  8 10 14  4  0  8  6 14 12 10 14  4 12  6  4  0 14  6  0 10  4 14  4  2  8 12 14 10  8  2  6 12  2  0  0  6  6  4 10 10  2 10  8  4 12  8 14  0  2  0  2 10  8  0  6  0  2  6  2  2 10 10 12  4  2 10 10  2 10 14
 0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  8  8  8  0  0  8  0  0  8  8  8  8  0  8  0  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  8  8  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8  8  0  0  8  8  8  8  8  0  0  0  0  0  0  0  8  8  0  0  0  0
 0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  8  8  8  8  0  0  0  0  8  0  0  0  8  8  8  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  8  8  0  0  0  0  8  0  8  8  0  0  0  8  0  0  0  8  8  0  0  0  8  8  0  0  8  0  8  8  8  8  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+72x^83+300x^84+196x^85+406x^86+340x^87+447x^88+612x^89+494x^90+324x^91+378x^92+168x^93+218x^94+52x^95+35x^96+12x^97+18x^98+12x^99+6x^100+4x^101+1x^152

The gray image is a code over GF(2) with n=712, k=12 and d=332.
This code was found by Heurico 1.16 in 1.08 seconds.