The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^10+141x^12+525x^14+609x^16+1446x^18+666x^20+514x^22+110x^24+39x^26+9x^28+1x^30

The gray image is a code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.16 in 0.153 seconds.