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 1 0 2 0 2 1 0 2 0 1 0 1 1 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 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 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 0 0 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 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 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 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 2 2 0 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 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 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 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 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 0 2 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 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 2 2 2 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 0 2 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 2 2 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 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 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 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 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 0 0 2 2 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 generates a code of length 85 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+145x^68+2x^70+415x^72+54x^74+653x^76+240x^78+959x^80+560x^82+1206x^84+642x^86+1203x^88+422x^90+750x^92+108x^94+469x^96+20x^98+225x^100+82x^104+29x^108+6x^112+1x^128 The gray image is a code over GF(2) with n=170, k=13 and d=68. This code was found by Heurico 1.16 in 45.1 seconds.