The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 0 2 2 1 1 2 1 0 2 1 2 2 1 2 2 0 1 0 0 0 0 0 0 0 1 3 1 1 1 2 1 1 3 1 3 1 2 2 1 1 0 2 0 0 0 1 0 0 0 1 1 1 1 1 0 2 1 1 2 0 1 1 2 1 2 2 1 1 2 1 0 0 0 0 1 0 1 1 0 1 0 0 1 1 3 2 1 0 1 2 3 3 1 3 2 3 1 1 2 0 0 0 0 1 1 0 1 1 0 1 0 2 2 3 3 3 3 3 3 3 3 2 3 3 3 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 generates a code of length 28 over Z4 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+226x^18+873x^20+2074x^22+3814x^24+5897x^26+6815x^28+6025x^30+4119x^32+1932x^34+711x^36+220x^38+50x^40+9x^42+1x^44+1x^46 The gray image is a code over GF(2) with n=56, k=15 and d=18. This code was found by Heurico 1.16 in 33 seconds.