The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 0 0 0 1 0 1 0 2 1 0 0 1 0 0 1 2 3 1 1 0 0 0 0 1 0 1 3 2 3 3 0 0 0 0 0 1 2 1 3 3 0 0 generates a code of length 11 over Z4 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+14x^6+68x^7+95x^8+100x^9+132x^10+152x^11+175x^12+152x^13+78x^14+36x^15+16x^16+4x^17+1x^20 The gray image is a code over GF(2) with n=22, k=10 and d=6. This code was found by Heurico 1.10 in 0 seconds.