The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  0  1  6  1  1  1  1 12  1  1  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  1  5  1 12  6 15  5  1 10 10  1  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0  0  0  8
 0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  0  0  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+20x^22+36x^23+254x^24+480x^25+883x^26+760x^27+881x^28+480x^29+243x^30+36x^31+12x^32+1x^34+3x^36+5x^38+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 0.0726 seconds.