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

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

Homogenous weight enumerator: w(x)=1x^0+274x^84+8x^85+280x^86+200x^87+470x^88+560x^89+558x^90+560x^91+470x^92+200x^93+222x^94+8x^95+230x^96+26x^98+22x^100+2x^102+2x^104+2x^108+1x^160

The gray image is a code over GF(2) with n=720, k=12 and d=336.
This code was found by Heurico 1.16 in 52.4 seconds.