The generator matrix

 1  0  1  1  1  6  1 10  1  1  8  1  4  1  1  1  1 14 12  1  1  2  1  1  1  1  1  0  1 14  1  1  2  1 12  1  1  1  0  1 14  1  1  0 10  1  1  1  1  1 10  1 12  1  1  1  4  0  1  2  1  1  1  1  1  2  6  1  1  8  1  1  1  2  0  1  6  1  1  1  1  1 12  1  2  1  1  2
 0  1 11  6 13  1  2  1  3 12  1  5  1  7  8  9 14  1  1 11  6  1 13  0  3  0  5  1  6  1  4  7  1 10  1  1  3  5  1  4  1 10 12  1  1 14  7 13  1  3  1  0  1  4  1 15  1  1 10  8  4  1  7 14  4  1  1 11 14  2  3  1  1 10  2  2  1 10  4 14  3  2  1  1  0 13 11  4
 0  0 12  0  4  4  8  4 12  8 12 12 12  4  4  4 12  8  8  0 12  0  8  4  0  8  8 12  8  4  0  0  4  0 12  8  0  8  0  4  0 12  4  0  0 12 12  4 12  4  8 12  8  4  0  0  8  8  4  0  4  8  8  8  8 12  4  4  8  4  0  0  4  8 12  8 12  4  4  4  4 12 12  4  4  8  8  4
 0  0  0 12  0  4  4 12 12  0  8  4  8  0  8 12  0  4  8 12 12  4 12  4  0 12  8  4  0  8  4  4  8  0 12  4  8  0 12  0  0 12 12  8 12  8  0 12  8  0  8  8 12  4  0  8 12  0 12 12  0  4 12  4  0  8 12 12  8 12 12 12 12  4  8  0  0  0  8  8  4  0  8  0 12 12  4  4
 0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  8  8  0  8  0  0  0  0  8  0  0  8  0  8  8  0  0  8  0  0  0  8  0  8  8  0  8  0  0  8  8  8  0  8  0  8  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+264x^82+240x^83+754x^84+608x^85+1162x^86+576x^87+1043x^88+912x^89+934x^90+512x^91+598x^92+208x^93+238x^94+16x^95+86x^96+14x^98+4x^102+10x^104+3x^108+4x^110+4x^114+1x^116

The gray image is a code over GF(2) with n=704, k=13 and d=328.
This code was found by Heurico 1.16 in 1.94 seconds.