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

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

Homogenous weight enumerator: w(x)=1x^0+257x^84+304x^86+64x^87+548x^88+448x^89+922x^90+448x^91+554x^92+64x^93+206x^94+198x^96+38x^98+37x^100+2x^102+4x^104+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 81.8 seconds.