The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+32x^11+112x^12+162x^13+220x^14+298x^15+441x^16+506x^17+516x^18+562x^19+408x^20+326x^21+260x^22+126x^23+62x^24+30x^25+28x^26+6x^27

The gray image is a code over GF(2) with n=36, k=12 and d=11.
This code was found by Heurico 1.16 in 0.259 seconds.