The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 2 0 1 0 0 1 1 2 2 1 1 1 0 2 1 0 2 1 1 0 0 1 2 2 2 1 2 1 2 1 1 1 1 1 0 1 1 0 1 2 1 1 0 2 0 0 1 0 1 1 1 0 1 1 1 1 2 1 0 1 2 0 0 2 1 1 2 2 1 1 2 0 1 1 1 0 1 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 2 2 1 1 0 0 1 1 0 3 1 0 1 2 0 0 3 1 2 1 1 2 1 2 0 1 3 1 0 0 3 2 2 0 2 3 1 1 1 0 1 1 1 2 1 2 1 1 0 2 2 1 2 3 0 0 0 1 0 0 0 0 2 0 1 1 1 1 1 1 1 2 1 1 3 0 2 3 0 2 1 3 3 3 2 0 2 1 3 1 1 1 1 3 0 2 1 1 2 0 2 1 3 3 3 3 1 2 2 3 1 2 2 3 1 3 3 2 1 1 2 2 0 3 3 0 0 0 1 3 0 1 2 3 0 3 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 3 1 2 2 1 0 3 2 2 1 2 1 2 1 0 0 1 3 3 3 0 3 2 0 1 2 1 2 2 1 2 2 3 1 3 3 3 0 2 2 1 3 3 3 2 1 2 1 2 0 1 3 0 2 3 1 2 3 1 3 1 0 1 0 2 1 0 1 0 3 1 0 3 1 2 0 0 0 0 0 1 1 3 0 1 2 2 1 0 3 1 1 1 3 0 3 2 3 2 0 3 2 3 1 2 0 1 1 1 3 0 2 1 2 1 2 3 1 0 0 0 3 0 1 2 0 2 1 2 0 2 3 2 2 0 1 3 3 1 0 3 3 1 2 1 1 3 3 1 0 0 1 1 1 1 3 1 2 3 2 0 1 1 0 0 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+86x^78+274x^80+278x^82+287x^84+244x^86+220x^88+150x^90+140x^92+102x^94+97x^96+68x^98+47x^100+14x^102+16x^104+16x^106+6x^108+2x^110 The gray image is a code over GF(2) with n=174, k=11 and d=78. This code was found by Heurico 1.10 in 0.297 seconds.