The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^12+76x^13+104x^14+200x^15+231x^16+244x^17+220x^18+240x^19+240x^20+180x^21+112x^22+72x^23+40x^24+12x^25+12x^26+1x^28

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 20.5 seconds.