The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^11+52x^12+88x^13+135x^14+160x^15+197x^16+242x^17+241x^18+242x^19+230x^20+156x^21+121x^22+84x^23+30x^24+26x^25+15x^26+2x^27+2x^28

The gray image is a code over GF(2) with n=36, k=11 and d=11.
This code was found by Heurico 1.10 in 0.031 seconds.