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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+50x^82+103x^84+32x^85+107x^86+96x^87+1294x^88+96x^89+109x^90+32x^91+49x^92+53x^94+24x^96+1x^98+1x^168

The gray image is a code over GF(2) with n=704, k=11 and d=328.
This code was found by Heurico 1.16 in 0.785 seconds.