The generator matrix

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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+305x^84+144x^85+972x^86+400x^87+1177x^88+480x^89+1216x^90+480x^91+1345x^92+400x^93+810x^94+144x^95+292x^96+2x^98+5x^100+2x^102+1x^104+6x^106+8x^116+1x^124+1x^128

The gray image is a code over GF(2) with n=720, k=13 and d=336.
This code was found by Heurico 1.16 in 2.13 seconds.