The generator matrix

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

generates a code of length 24 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+152x^18+64x^19+448x^20+768x^21+1902x^22+3264x^23+3186x^24+3264x^25+1926x^26+768x^27+438x^28+64x^29+106x^30+21x^32+10x^34+2x^36

The gray image is a code over GF(2) with n=192, k=14 and d=72.
This code was found by Heurico 1.16 in 5.45 seconds.