The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+118x^12+190x^14+520x^16+390x^18+526x^20+186x^22+110x^24+2x^26+4x^28+1x^32

The gray image is a code over GF(2) with n=36, k=11 and d=12.
This code was found by Heurico 1.16 in 1.64 seconds.