The generator matrix 1 0 0 0 1 1 1 2 1 1 2 1 0 2 1 1 1 2 1 0 1 1 0 1 0 1 2 1 2 1 1 0 0 1 2 2 1 2 1 1 2 0 1 1 2 2 0 2 1 0 1 2 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 2 1 1 1 1 1 0 1 2 0 2 1 1 1 0 1 0 0 0 0 0 0 1 3 1 3 1 1 1 2 1 1 3 1 2 2 2 0 0 2 2 0 0 2 3 1 1 1 2 1 0 1 0 2 1 0 0 3 0 1 1 1 3 1 0 1 1 0 2 2 0 2 1 2 3 1 2 0 1 1 3 0 2 1 2 2 0 2 1 1 3 1 1 1 1 3 2 0 0 1 0 0 1 3 1 1 3 2 2 1 1 0 2 2 0 1 3 0 1 1 2 2 3 1 2 2 0 3 1 2 2 1 2 0 0 3 1 3 0 1 0 1 3 0 2 1 2 2 1 1 3 1 0 1 3 0 3 2 3 2 1 3 3 1 1 1 1 3 2 2 3 1 0 3 0 3 3 3 0 0 0 0 0 1 1 3 0 1 0 1 1 0 1 0 3 2 3 1 1 1 2 0 0 1 1 3 3 3 1 2 1 1 0 3 0 1 1 2 3 2 0 1 3 3 2 0 3 2 2 1 1 2 2 0 1 1 0 0 2 2 1 2 0 0 3 1 2 1 0 1 3 2 2 1 0 2 0 2 0 3 0 3 3 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 generates a code of length 83 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+90x^78+123x^80+98x^82+83x^84+34x^86+27x^88+17x^90+11x^92+6x^94+4x^96+3x^98+4x^100+4x^102+3x^104+4x^106 The gray image is a code over GF(2) with n=166, k=9 and d=78. This code was found by Heurico 1.16 in 0.179 seconds.