The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^22+28x^23+284x^24+324x^25+850x^26+840x^27+874x^28+312x^29+226x^30+28x^31+113x^32+4x^33+46x^34+6x^36+2x^40

The gray image is a code over GF(2) with n=216, k=12 and d=88.
This code was found by Heurico 1.16 in 14.4 seconds.