The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 2 1 1 0 0 1 1 0 1 1 2 2 2 0 2 0 1 2 1 0 1 1 2 0 1 2 1 0 0 1 1 2 2 1 1 2 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 1 1 0 0 2 1 3 2 1 1 0 0 2 2 0 0 1 0 1 0 3 1 1 1 2 1 3 1 1 2 1 1 2 0 0 0 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 0 3 1 0 1 2 2 0 2 3 1 1 2 1 0 0 2 1 3 2 0 2 2 0 2 1 3 3 0 1 2 3 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 1 0 2 1 3 2 1 2 0 1 3 3 1 1 1 1 0 2 1 1 3 2 1 1 2 3 1 1 3 2 3 2 0 0 3 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 2 1 1 2 1 3 2 0 0 1 2 1 3 2 1 2 2 3 2 1 1 1 3 1 3 3 3 2 1 0 2 0 3 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 generates a code of length 67 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+188x^56+488x^58+763x^60+814x^62+932x^64+944x^66+985x^68+888x^70+835x^72+626x^74+429x^76+192x^78+83x^80+14x^82+6x^84+2x^86+1x^100+1x^104 The gray image is a code over GF(2) with n=134, k=13 and d=56. This code was found by Heurico 1.16 in 10.6 seconds.