The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 1 2 0 1 1 1 2 1 0 1 1 2 2 1 1 1 1 2 1 0 1 1 0 0 1 2 1 2 0 1 1 0 1 1 2 0 0 1 2 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 3 3 1 1 1 2 1 0 0 1 2 2 1 1 1 3 3 1 1 2 1 2 0 1 2 1 1 2 1 1 3 2 0 1 1 1 0 0 0 1 1 1 0 1 2 0 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 0 1 3 0 1 0 1 1 3 1 3 2 1 0 1 3 1 1 3 0 2 2 3 1 3 2 1 0 1 3 1 2 1 1 1 2 3 3 1 1 1 0 3 3 1 3 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 generates a code of length 63 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+45x^52+68x^53+90x^54+162x^55+186x^56+158x^57+252x^58+244x^59+228x^60+288x^61+257x^62+268x^63+241x^64+260x^65+235x^66+224x^67+195x^68+156x^69+136x^70+98x^71+95x^72+78x^73+38x^74+28x^75+26x^76+16x^77+13x^78+4x^80+3x^82+2x^84+1x^88 The gray image is a code over GF(2) with n=126, k=12 and d=52. This code was found by Heurico 1.16 in 2.52 seconds.