The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 0 0 2 2 1 0 2 1 1 2 2 1 1 1 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 generates a code of length 83 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+68x^66+155x^68+173x^70+292x^72+374x^74+478x^76+679x^78+825x^80+1048x^82+1070x^84+874x^86+685x^88+478x^90+332x^92+252x^94+153x^96+104x^98+71x^100+37x^102+27x^104+8x^106+6x^108+1x^110+1x^128 The gray image is a code over GF(2) with n=166, k=13 and d=66. This code was found by Heurico 1.16 in 44.9 seconds.