The generator matrix 1 0 0 1 1 1 0 1 1 1 0 1 2 0 1 1 1 1 2 0 0 0 1 1 2 1 1 2 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 3 1 0 0 2 1 3 1 0 1 0 3 2 0 3 3 1 0 1 2 3 0 0 1 1 1 0 1 0 1 1 2 0 3 1 0 1 1 0 3 1 0 1 0 3 1 3 2 2 2 3 1 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 generates a code of length 32 over Z4 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+75x^22+259x^24+561x^26+941x^28+1349x^30+1699x^32+1554x^34+946x^36+474x^38+231x^40+77x^42+17x^44+5x^46+2x^48+1x^54 The gray image is a code over GF(2) with n=64, k=13 and d=22. This code was found by Heurico 1.16 in 3.21 seconds.