The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  6  1  1  0  6  1  1
 0  1 11  6  1  1  8  5  1 14 11  1  3  0  1  1 11  8
 0  0 12  0  0  0  0  0  4  0 12  4  8  8 12  0  8  4
 0  0  0 12  0  0  0  0 12  4  8  4 12 12 12  8  8 12
 0  0  0  0  4  0  8  4  8 12  4 12  4  8  8 12 12  8
 0  0  0  0  0 12 12  4  4  4  4 12  8  4  0  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+207x^12+40x^13+734x^14+1416x^15+6675x^16+13904x^17+19518x^18+13904x^19+6800x^20+1416x^21+714x^22+40x^23+132x^24+26x^26+9x^28

The gray image is a code over GF(2) with n=144, k=16 and d=48.
This code was found by Heurico 1.16 in 7.42 seconds.