The generator matrix

 1  1  1  1  1  1  2  1  1  4  2  1  4  2  1  1  1  2
 0 12  0 12  0 12 12  0 12 12 12  0 12 12 12  0 12 12
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  0  8
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0
 0  0  0  0  0  0  0  0  8  8  0  8  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+126x^12+208x^14+1537x^16+4448x^18+1537x^20+208x^22+126x^24+1x^36

The gray image is a code over GF(2) with n=144, k=13 and d=48.
This code was found by Heurico 1.16 in 0.147 seconds.