The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^10+64x^11+170x^12+256x^13+460x^14+648x^15+858x^16+1072x^17+1024x^18+1080x^19+848x^20+672x^21+468x^22+248x^23+164x^24+48x^25+46x^26+8x^27+6x^28+1x^32

The gray image is a code over GF(2) with n=36, k=13 and d=10.
This code was found by Heurico 1.16 in 0.643 seconds.