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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+211x^82+92x^83+270x^84+168x^85+485x^86+516x^87+690x^88+496x^89+451x^90+196x^91+231x^92+40x^93+153x^94+28x^95+50x^96+10x^98+3x^100+2x^102+2x^104+1x^152

The gray image is a code over GF(2) with n=704, k=12 and d=328.
This code was found by Heurico 1.16 in 16.1 seconds.