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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+180x^83+31x^84+240x^85+228x^86+736x^87+226x^88+192x^89+12x^90+156x^91+13x^92+32x^93+1x^168

The gray image is a code over GF(2) with n=696, k=11 and d=332.
This code was found by Heurico 1.16 in 1.24 seconds.