The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^83+614x^84+432x^85+64x^86+480x^87+695x^88+480x^89+64x^90+432x^91+600x^92+112x^93+7x^96+2x^116+1x^120

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 0.696 seconds.