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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+186x^86+291x^88+256x^89+632x^90+256x^91+238x^92+138x^94+44x^96+4x^98+1x^100+1x^172

The gray image is a code over GF(2) with n=720, k=11 and d=344.
This code was found by Heurico 1.16 in 0.849 seconds.