The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 0 0 2 0 0 0 0 1 0 0 0 1 1 2 2 1 0 2 2 1 0 2 1 1 2 1 1 0 0 1 0 1 1 1 1 2 2 2 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 3 1 1 1 0 1 0 1 2 1 0 2 2 3 0 1 2 1 2 2 3 0 1 2 2 1 1 0 1 0 2 1 3 0 1 0 2 1 1 3 0 3 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 2 2 3 3 2 0 1 0 1 1 0 0 2 1 1 2 0 3 2 1 1 2 1 0 0 1 0 2 1 2 3 1 2 3 3 1 2 3 1 3 1 1 0 3 1 3 0 0 0 1 0 0 0 1 1 1 3 3 0 1 2 1 3 0 3 2 0 3 2 2 3 0 1 1 3 1 1 1 0 2 2 1 0 1 0 0 2 1 1 1 3 2 1 0 1 2 0 3 0 1 3 1 1 1 0 1 0 0 2 3 2 0 0 0 0 1 0 1 1 0 3 2 2 0 2 3 1 3 2 0 2 3 1 1 1 2 3 1 1 1 1 3 2 3 1 0 3 0 0 0 0 0 0 2 3 1 3 0 0 1 3 3 2 2 1 3 1 0 1 3 0 1 2 2 0 0 0 0 0 0 0 1 1 2 3 1 0 2 2 2 3 3 1 1 3 1 2 0 2 1 1 1 0 0 1 2 2 2 3 0 3 3 3 1 2 0 1 1 1 1 1 3 2 1 1 3 2 2 1 3 1 0 1 1 1 3 2 2 0 0 3 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 2 0 0 2 0 2 generates a code of length 65 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+150x^54+512x^56+745x^58+805x^60+942x^62+989x^64+965x^66+929x^68+865x^70+623x^72+346x^74+212x^76+79x^78+22x^80+4x^82+2x^84+1x^96 The gray image is a code over GF(2) with n=130, k=13 and d=54. This code was found by Heurico 1.16 in 9.75 seconds.