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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+48x^81+31x^82+48x^83+52x^84+26x^85+562x^86+530x^87+565x^88+20x^89+32x^90+52x^91+20x^92+34x^93+14x^94+10x^95+1x^96+1x^98+1x^168

The gray image is a code over GF(2) with n=696, k=11 and d=324.
This code was found by Heurico 1.16 in 0.867 seconds.