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 2 2 2 1 1 2 2 1 1 1 1 2 1 1 2 2 1 2 2 1 1 2 2 1 1 1 2 1 1 1 1 1 4 1 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 4 4 4 0 0 4 4 0 4 0 4 0 0 4 4 0 4 0 0 0 4 0 0 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 4 4 4 0 4 0 4 4 4 0 0 4 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 0 0 0 4 4 0 4 0 0 4 0 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 0 0 4 4 4 0 0 4 0 0 0 0 4 4 0 0 0 4 4 4 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 4 4 0 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 0 0 0 4 4 4 0 0 0 4 4 0 0 4 0 0 0 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 0 0 4 4 0 0 0 4 4 0 0 4 0 0 4 0 4 4 4 0 0 4 0 0 4 0 4 4 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 4 0 4 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 0 0 4 0 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 4 0 0 4 4 0 0 4 4 0 4 4 0 0 0 4 0 0 4 0 0 0 4 4 0 4 0 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 0 0 0 4 0 4 0 0 0 4 0 4 4 0 4 4 4 0 4 0 4 0 0 0 4 0 4 0 0 4 0 0 4 4 4 0 0 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 4 0 4 4 0 0 4 4 4 4 4 4 4 4 0 0 4 4 4 0 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 4 0 0 4 4 0 0 0 0 0 0 4 0 4 generates a code of length 74 over Z8 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+55x^62+101x^64+114x^66+170x^68+217x^70+257x^72+1024x^73+306x^74+1024x^75+259x^76+172x^78+134x^80+85x^82+56x^84+45x^86+32x^88+20x^90+11x^92+7x^94+2x^96+3x^98+1x^120 The gray image is a code over GF(2) with n=296, k=12 and d=124. This code was found by Heurico 1.16 in 21.9 seconds.