The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+59x^10+324x^12+912x^14+1677x^16+2170x^18+1820x^20+884x^22+266x^24+67x^26+8x^28+4x^30

The gray image is a code over GF(2) with n=36, k=13 and d=10.
This code was found by Heurico 1.16 in 0.721 seconds.