The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^84+384x^85+192x^86+272x^87+224x^88+304x^89+164x^90+240x^91+81x^92+80x^93+8x^94+2x^98+1x^104+2x^106+2x^120

The gray image is a code over GF(2) with n=704, k=11 and d=336.
This code was found by Heurico 1.16 in 0.789 seconds.