The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  4  1  1  0  0  2  2  8  4  2
 0  2  0  2  0  0  6 14  4  4 10  6  4  8 14 10 10  2 12 12  2  8  8  8  2 12  4
 0  0  2  2 12  6  6  4  4  2  6  0  2  2 12  8  6 10  6  8  8  2 14  2 12 12 12
 0  0  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  8  8  0  0  8  8
 0  0  0  0  8  0  8  0  8  8  0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  0  8
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  0  0  0

generates a code of length 27 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+181x^22+220x^23+806x^24+540x^25+1844x^26+1032x^27+1856x^28+584x^29+756x^30+156x^31+141x^32+28x^33+32x^34+12x^36+3x^38

The gray image is a code over GF(2) with n=216, k=13 and d=88.
This code was found by Heurico 1.16 in 0.469 seconds.