The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+87x^14+112x^16+135x^18+91x^20+61x^22+19x^24+5x^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 1.10 in 0.328 seconds.