The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  2  1  1  0  2  0  1
 0  1  0  1  0  1  1  1  0  3  2  1  3  2  0  2  0  2
 0  0  1  1  1  0  1  2  0  0  3  2  2  1  1  1  1  3
 0  0  0  2  0  0  0  2  2  0  0  0  2  2  2  2  0  2
 0  0  0  0  2  0  0  2  2  2  0  2  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  0  2  2

generates a code of length 18 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+86x^14+118x^16+120x^18+111x^20+46x^22+25x^24+4x^26+1x^28

The gray image is a code over GF(2) with n=36, k=9 and d=14.
This code was found by Heurico 1.16 in 0.0209 seconds.