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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+66x^84+8x^85+72x^86+184x^87+368x^88+184x^89+76x^90+8x^91+44x^92+4x^94+7x^96+1x^104+1x^160

The gray image is a code over GF(2) with n=704, k=10 and d=336.
This code was found by Heurico 1.16 in 0.504 seconds.