The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+168x^82+304x^83+513x^84+484x^85+510x^86+264x^87+467x^88+464x^89+474x^90+200x^91+129x^92+76x^93+26x^94+4x^96+4x^100+4x^102+2x^106+2x^124

The gray image is a code over GF(2) with n=696, k=12 and d=328.
This code was found by Heurico 1.16 in 0.799 seconds.