The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 generates a code of length 18 over Z4 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+30x^6+105x^8+252x^10+571x^12+1026x^14+1371x^16+9672x^18+1371x^20+1026x^22+571x^24+252x^26+105x^28+30x^30+1x^36 The gray image is a code over GF(2) with n=36, k=14 and d=6. This code was found by Heurico 1.16 in 1.24 seconds.