The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+42x^11+87x^12+130x^13+180x^14+198x^15+236x^16+270x^17+267x^18+230x^19+173x^20+110x^21+63x^22+42x^23+15x^24+2x^25+1x^26+1x^30

The gray image is a code over GF(2) with n=34, k=11 and d=11.
This code was found by Heurico 1.10 in 0.016 seconds.