The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+50x^13+97x^14+96x^15+101x^16+108x^17+121x^18+122x^19+104x^20+90x^21+67x^22+36x^23+18x^24+8x^25+3x^26+2x^27

The gray image is a code over GF(2) with n=36, k=10 and d=13.
This code was found by Heurico 1.16 in 0.0475 seconds.