The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+88x^10+156x^11+324x^12+552x^13+892x^14+1248x^15+1738x^16+2152x^17+2124x^18+2104x^19+1700x^20+1272x^21+916x^22+576x^23+324x^24+120x^25+76x^26+12x^27+8x^28+1x^32

The gray image is a code over GF(2) with n=36, k=14 and d=10.
This code was found by Heurico 1.16 in 3.56 seconds.