The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+59x^18+238x^20+64x^21+542x^22+512x^23+1778x^24+4032x^25+4523x^26+9216x^27+4556x^28+4032x^29+1852x^30+512x^31+535x^32+64x^33+169x^34+54x^36+22x^38+6x^40+1x^42

The gray image is a code over GF(2) with n=216, k=15 and d=72.
This code was found by Heurico 1.16 in 4.92 seconds.