The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+73x^12+286x^13+635x^14+1406x^15+2981x^16+6458x^17+8972x^18+6580x^19+3067x^20+1402x^21+563x^22+222x^23+84x^24+30x^25+6x^26+2x^28

The gray image is a code over GF(2) with n=144, k=15 and d=48.
This code was found by Heurico 1.16 in 2.64 seconds.