The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 2 1 0 2 2 0 1 1 2 0 1 2 0 1 1 1 1 1 2 1 1 0 1 1 0 1 1 1 1 0 2 2 2 0 0 1 1 0 0 2 1 1 1 0 1 1 0 0 1 2 2 2 2 2 2 1 0 1 0 1 1 1 0 1 1 1 1 2 2 0 1 0 1 2 2 1 0 1 0 0 0 0 0 0 0 2 0 0 2 2 2 2 1 1 3 3 1 1 3 1 1 1 3 1 1 2 1 0 1 1 1 3 0 1 3 2 1 2 1 0 1 2 1 2 2 0 0 0 3 1 3 0 1 2 1 1 2 1 1 2 0 1 1 1 1 2 0 2 0 1 1 0 3 3 0 1 1 0 3 1 0 1 1 1 0 0 1 0 0 0 1 0 2 0 1 3 1 3 1 1 2 2 0 3 1 2 3 3 3 0 1 2 3 0 2 2 0 1 0 1 0 1 3 1 3 2 2 1 1 2 3 1 2 0 1 2 0 2 0 0 0 3 3 2 0 3 0 2 1 1 0 3 1 2 1 0 3 0 2 3 2 1 2 0 1 2 1 3 2 0 0 2 0 0 0 1 0 1 1 2 1 1 2 2 1 1 2 1 1 2 0 0 3 3 2 0 0 3 3 3 1 0 0 3 3 1 0 0 1 0 1 2 1 2 1 3 0 0 2 2 0 1 2 1 2 3 1 1 0 3 2 3 3 0 3 1 0 2 0 2 3 1 1 2 2 0 0 3 1 0 2 1 0 1 1 3 3 0 3 2 0 0 0 0 1 1 0 1 0 3 2 3 0 1 1 3 1 1 2 3 2 0 2 1 2 2 1 3 2 2 3 1 0 3 3 3 3 2 1 2 0 1 0 2 3 1 3 1 1 3 3 2 3 1 3 3 2 1 2 3 2 2 2 1 0 1 2 0 2 2 1 2 2 2 0 0 3 0 0 3 3 3 0 0 3 3 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 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 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 2 generates a code of length 88 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+222x^78+392x^80+465x^82+474x^84+476x^86+364x^88+382x^90+345x^92+310x^94+245x^96+181x^98+114x^100+60x^102+46x^104+12x^106+3x^108+4x^110 The gray image is a code over GF(2) with n=176, k=12 and d=78. This code was found by Heurico 1.16 in 9.07 seconds.