The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 0 1 2 1 2 1 1 2 0 0 0 1 1 1 1 1 0 1 0 2 2 2 0 1 1 1 0 1 1 2 2 0 2 1 1 1 1 1 2 0 2 1 1 1 0 2 1 1 1 1 0 1 1 1 1 1 2 2 2 1 1 1 1 1 2 1 1 2 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 3 1 1 2 2 2 0 1 1 3 1 1 1 1 1 0 0 2 2 3 3 3 0 3 1 1 1 1 1 0 2 3 0 1 1 1 1 1 1 0 3 3 1 0 2 0 1 0 0 1 1 1 2 3 2 1 1 2 2 0 0 0 0 1 2 2 0 2 2 3 1 0 0 0 2 3 0 1 1 0 0 1 1 1 0 1 0 1 3 0 2 3 1 2 1 1 1 2 0 3 3 0 0 1 1 1 2 1 3 3 1 1 1 0 2 1 3 3 0 3 2 1 2 2 3 2 1 1 1 0 2 2 0 1 1 0 3 2 2 3 1 2 3 1 2 2 2 1 3 0 1 1 1 1 0 0 2 0 1 3 3 0 1 2 3 1 1 3 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+151x^78+282x^80+387x^82+467x^84+455x^86+432x^88+421x^90+352x^92+299x^94+334x^96+233x^98+131x^100+81x^102+34x^104+11x^106+10x^108+6x^110+5x^112+4x^114 The gray image is a code over GF(2) with n=178, k=12 and d=78. This code was found by Heurico 1.16 in 52.8 seconds.