The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+170x^22+16x^23+245x^24+256x^25+898x^26+992x^27+844x^28+256x^29+238x^30+16x^31+113x^32+38x^34+12x^36+1x^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 2.29 seconds.