The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^18+94x^19+250x^20+252x^21+397x^22+518x^23+862x^24+1624x^25+6604x^26+11360x^27+6636x^28+1704x^29+911x^30+504x^31+383x^32+248x^33+202x^34+66x^35+58x^36+12x^37+19x^38+2x^39+2x^40+1x^46

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 6.91 seconds.