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  2  1  2  1  1  1  1  1  2  1  1  1  1  1  1  1  1  2  1  1  1  4  1  1  2  1  8  1  1  2  1  1  8  1  1  1  1  4  1  1  1  1  2  1  2  1  2  4  4  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8  4 12  8  4  0  4 12  8  8  0  0  4  4  8  8  8  0 12  8 12  8 12  4  4  4 12 12  4  0 12  0  4  0  4 12  0  8  8  0  8  4 12  0 12  4  4  4  0  0 12 12  0 12  4  4 12 12  8 12  0 12  8  0  0
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4 12  0 12  4  8  0  8  0  0  4  4 12 12  4  4 12 12 12  0  8  0  4 12  0  4  4  4  4  8  0  4  0 12  8  4  8  8  0  4 12 12  4  0  4  0 12  8  4 12  4 12  4 12  0  0  8  8  8 12  8 12  0  8  0
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  8  4  8  0  0  4 12 12 12  0  0 12  8  0 12  4  8  4  0 12  0  0  4  0  8  4 12  0  0  4  8  8  8 12  8  8 12 12 12  0  8 12 12 12  4  0  8 12 12  8  4 12  4  0  8  8  0  4 12 12 12  0  0
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  4 12  0  0  8  0  4  4  0  8  4  0  4  0  8 12  4  4  4 12 12  0  8 12 12  8 12  8  0 12  0  4  0  0  0 12 12  8  4  8  8  0  4  0 12 12  4  0  0  8  8  8 12  0  8  4  8  4  4  0  8  4  4  0

generates a code of length 88 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+36x^80+76x^81+98x^82+116x^83+191x^84+154x^85+783x^86+198x^87+927x^88+202x^89+770x^90+122x^91+137x^92+58x^93+49x^94+34x^95+27x^96+28x^97+17x^98+26x^99+18x^100+8x^101+10x^102+7x^104+2x^105+1x^146

The gray image is a code over GF(2) with n=704, k=12 and d=320.
This code was found by Heurico 1.16 in 1.09 seconds.