The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  1  8  1  2  8  0  2
 0  1 11  6  1  1  0  3  1  6  0  5  1 13  4  1  2  4
 0  0 12  0  0  0 12  0  4  8  4  0 12  4  4  8  4  8
 0  0  0 12  0  0  0  0  0  4 12 12  8  4  8  8  0 12
 0  0  0  0  4  4  0  8 12 12  8 12  0  4  0 12 12  8
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  0  8
 0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+235x^12+144x^13+848x^14+2192x^15+6826x^16+13024x^17+18992x^18+13024x^19+6826x^20+2192x^21+880x^22+144x^23+188x^24+16x^26+3x^28+1x^32

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 6.61 seconds.