The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^86+718x^87+726x^88+670x^89+450x^90+312x^91+274x^92+202x^93+161x^94+158x^95+68x^96+104x^97+46x^98+32x^99+8x^100+12x^101+2x^104+1x^106+1x^108

The gray image is a code over GF(2) with n=720, k=12 and d=344.
This code was found by Heurico 1.16 in 0.552 seconds.