The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+36x^10+152x^12+560x^14+2398x^16+2048x^17+5976x^18+2048x^19+2432x^20+560x^22+128x^24+36x^26+8x^28+1x^32

The gray image is a code over GF(2) with n=144, k=14 and d=40.
This code was found by Heurico 1.16 in 0.47 seconds.