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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+198x^87+126x^88+170x^89+336x^90+440x^91+257x^92+268x^93+16x^94+190x^95+28x^96+10x^97+4x^99+3x^100+1x^168

The gray image is a code over GF(2) with n=728, k=11 and d=348.
This code was found by Heurico 1.16 in 54.5 seconds.