The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+147x^18+64x^19+449x^20+896x^21+1688x^22+3136x^23+3614x^24+3136x^25+1739x^26+896x^27+410x^28+64x^29+103x^30+37x^32+2x^34+1x^36+1x^38

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 1.68 seconds.