The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^11+97x^12+168x^13+240x^14+300x^15+394x^16+536x^17+559x^18+476x^19+455x^20+344x^21+211x^22+148x^23+73x^24+40x^25+13x^26+4x^28+1x^30

The gray image is a code over GF(2) with n=36, k=12 and d=11.
This code was found by Heurico 1.10 in 0.109 seconds.