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  8  1  1  1  1  1  0  1  1  1  2  1  1  1  1  1  1  1  2  1  1  1  1 12  1  1  4  1  1  2  2  1  1  1  1  1  8  4  1  1  0  2  1  2 12  2  1
 0  2  0  2  0  8 10  2  4  6  4 14 12  4  6  6  0 10  4  6  6  8  4  6  0 10 14  4 10  8 10 12  4  6  0 14  0 10  6  0 14  4  0  2 10 10 12  6  4  8  8  0  2 10  4  0  2 14 12  6  2  4  2 12  2  8  8 12 14  2  4  4 12 14 12 12  4  4 10 12  2  2  8  2 14  4  4  2  2  4
 0  0  2  2 12 14  6  4  4 14  2  0  8 14 10  4  0 10 10  8 10 14  0 12 12  8  6  6  4  2 14  0  4  2 14 12  2  6  8  8 14  2 14 10  4  8  4  2  0  2 12  2  4  6 10  4 10  0 14  6 14  2  0 12  2  0  2  6  4  2  6 12  6 10 14  8  4 12  2  2 10 10 14 14 10 10 14  2 10 12
 0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  0  8  8  8  0  8  8  0  0  0  0  8  8  0  8  0  0  8  8  0  8  0  0  0  0  0  0  0  8  8  0  0  8  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  8  8  0  0  8  8  0  8  8  8  8  0  8  0  0  0  0  8  8  0  0  8  8  0  8  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+76x^84+280x^85+215x^86+398x^87+374x^88+500x^89+493x^90+518x^91+367x^92+340x^93+188x^94+214x^95+40x^96+28x^97+10x^98+10x^99+21x^100+4x^101+4x^102+12x^103+1x^104+1x^106+1x^150

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 1.11 seconds.