The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 0 1 1 1 2 1 2 0 2 0 1 1 0 1 2 0 1 1 1 2 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 2 1 2 2 0 1 1 1 1 2 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 1 2 3 0 1 0 2 2 1 1 3 3 1 3 1 1 2 2 0 1 3 2 0 1 1 3 3 1 1 2 0 3 1 1 2 1 1 0 2 0 3 1 0 2 1 0 1 1 0 0 3 2 0 0 3 2 1 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 3 1 3 0 0 0 0 1 2 0 2 1 3 2 1 0 2 1 3 1 1 3 1 0 2 2 3 1 0 2 1 2 1 2 2 3 1 1 0 2 1 2 0 0 0 1 1 0 0 2 0 0 1 0 2 1 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 0 0 1 3 2 1 0 0 3 1 3 2 3 0 2 3 3 1 2 0 2 1 0 3 0 3 1 3 1 3 0 3 0 1 1 2 3 1 1 3 3 1 3 1 2 1 0 1 2 1 1 1 3 2 1 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 0 2 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 generates a code of length 77 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+305x^64+506x^66+968x^68+1104x^70+1722x^72+1644x^74+1991x^76+1848x^78+1859x^80+1580x^82+1233x^84+768x^86+488x^88+204x^90+102x^92+24x^94+25x^96+2x^98+9x^100+1x^108 The gray image is a code over GF(2) with n=154, k=14 and d=64. This code was found by Heurico 1.16 in 93.6 seconds.