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 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 1 2 2 2 1 1 1 0 0 2 1 2 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 0 2 2 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 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 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 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 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 2 2 2 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 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 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 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 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 2 2 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 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 2 2 2 0 2 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 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 0 0 2 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 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 0 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 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 0 0 2 2 0 2 0 0 0 0 2 0 2 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+61x^70+184x^72+231x^74+320x^76+360x^78+510x^80+719x^82+779x^84+916x^86+955x^88+879x^90+682x^92+521x^94+360x^96+235x^98+175x^100+114x^102+97x^104+46x^106+25x^108+11x^110+5x^112+2x^114+2x^116+1x^118+1x^124 The gray image is a code over GF(2) with n=174, k=13 and d=70. This code was found by Heurico 1.16 in 62 seconds.