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 1 0 0 1 2 1 2 1 2 2 1 1 1 1 1 0 2 0 1 2 2 1 0 1 0 2 0 2 1 2 1 2 0 0 1 1 1 1 1 2 1 1 1 0 1 0 2 1 2 0 1 1 2 0 0 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 3 1 2 3 0 2 0 1 0 1 3 1 1 2 3 1 1 0 1 1 2 3 1 0 1 2 1 1 1 2 0 2 0 1 0 3 2 2 0 1 0 1 2 1 0 1 1 2 2 1 0 3 2 1 1 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 2 1 2 1 1 1 1 2 0 0 3 2 1 0 1 2 3 0 1 1 1 1 3 3 0 1 3 1 1 0 3 2 1 0 3 3 2 3 3 3 3 2 2 3 1 2 1 2 1 0 2 3 0 2 0 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 3 0 1 2 3 1 2 3 1 0 3 0 2 1 0 3 0 1 1 1 0 1 0 2 1 1 3 1 3 0 1 1 2 0 1 1 2 3 0 1 0 2 0 3 3 2 3 1 0 0 2 1 0 1 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 2 3 1 2 1 1 3 1 1 0 2 3 2 3 0 3 2 3 1 3 1 2 1 3 2 1 1 2 1 3 2 2 1 0 2 0 2 1 2 0 1 0 3 3 3 1 1 3 3 2 1 1 0 0 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 2 0 2 0 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 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 0 2 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 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 2 2 0 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 2 2 0 0 2 generates a code of length 86 over Z4 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+209x^74+416x^76+714x^78+718x^80+826x^82+883x^84+934x^86+767x^88+807x^90+588x^92+591x^94+347x^96+200x^98+95x^100+64x^102+23x^104+6x^106+2x^108+1x^110 The gray image is a code over GF(2) with n=172, k=13 and d=74. This code was found by Heurico 1.16 in 14.9 seconds.