The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+423x^84+236x^85+342x^86+160x^87+346x^88+196x^89+222x^90+40x^91+44x^92+8x^93+12x^94+8x^96+4x^98+4x^102+1x^120+1x^132

The gray image is a code over GF(2) with n=696, k=11 and d=336.
This code was found by Heurico 1.16 in 10.4 seconds.