The generator matrix

1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 2
0 1 0 0 0 0 0 0 0 0 1 1 3 2 3 2 1 1
0 0 1 0 0 0 0 1 1 2 1 2 1 0 2 1 2 0
0 0 0 1 0 0 0 1 2 3 3 1 0 0 2 2 0 3
0 0 0 0 1 0 1 0 1 3 1 3 2 2 0 3 3 0
0 0 0 0 0 1 1 3 2 0 3 0 3 3 2 0 3 0
0 0 0 0 0 0 2 2 0 2 2 0 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+96x^11+213x^12+286x^13+464x^14+632x^15+777x^16+1020x^17+1128x^18+1024x^19+906x^20+688x^21+416x^22+280x^23+150x^24+52x^25+40x^26+16x^27+1x^28+2x^29

The gray image is a code over GF(2) with n=36, k=13 and d=11.
This code was found by Heurico 1.10 in 15.2 seconds.