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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+144x^83+308x^84+492x^85+585x^86+470x^87+386x^88+340x^89+442x^90+426x^91+222x^92+138x^93+89x^94+22x^95+9x^96+4x^97+4x^98+4x^99+2x^101+4x^103+2x^107+1x^120+1x^128

The gray image is a code over GF(2) with n=704, k=12 and d=332.
This code was found by Heurico 1.16 in 0.822 seconds.