The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^12+84x^13+117x^14+194x^15+194x^16+224x^17+219x^18+254x^19+187x^20+196x^21+157x^22+62x^23+41x^24+8x^25+17x^26+2x^27+2x^30

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 0.0663 seconds.