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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+45x^84+128x^85+176x^86+378x^87+146x^88+84x^89+31x^90+10x^91+16x^92+8x^93+1x^166

The gray image is a code over GF(2) with n=696, k=10 and d=336.
This code was found by Heurico 1.16 in 0.396 seconds.