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 4 1 0 2 4 1 1 0 0 0 1 1 0 2 1 1 1 1 1 2 0 2 2 4 4 0 1 1 1 1 1 4 2 1 0 4 1 1 1 1 1 0 2 0 0 0 2 6 2 0 4 0 2 0 0 6 6 2 0 4 4 6 4 6 2 6 2 6 2 0 2 2 0 6 4 0 4 4 0 4 2 2 2 0 4 2 4 6 4 2 2 0 4 0 2 4 2 0 4 0 0 2 2 0 0 0 2 0 2 4 0 2 2 0 0 2 2 0 4 6 4 0 0 0 2 0 2 2 6 0 0 0 2 4 0 6 2 0 6 4 6 2 6 2 6 4 0 0 2 4 4 0 6 0 4 0 0 2 2 2 4 4 2 4 0 2 0 4 2 0 6 6 2 0 2 4 4 4 0 4 6 6 4 0 2 2 2 2 0 4 6 2 2 2 6 6 6 6 4 0 0 6 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 2 4 0 2 2 4 0 6 6 4 2 6 2 4 2 6 0 6 0 0 4 6 2 4 6 6 4 2 2 4 6 6 4 2 6 6 0 6 6 2 6 4 0 0 0 0 0 4 6 0 2 6 4 6 2 2 2 4 4 6 2 2 2 6 2 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 0 4 4 0 0 0 0 4 0 4 4 0 0 0 4 4 4 0 0 0 4 4 0 0 4 4 4 4 4 0 0 4 0 4 0 4 0 4 0 4 0 0 4 4 4 4 0 4 4 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 4 0 0 4 4 0 4 4 0 0 4 4 0 4 0 0 0 0 4 0 4 0 4 0 4 0 0 4 4 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 4 4 0 4 4 4 0 4 0 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 0 0 4 0 4 0 4 4 4 0 4 4 4 4 0 4 4 4 0 4 0 4 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 0 0 4 4 0 4 4 0 4 0 4 4 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 generates a code of length 81 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+55x^68+82x^69+190x^70+230x^71+293x^72+382x^73+355x^74+766x^75+367x^76+1366x^77+410x^78+2106x^79+428x^80+2398x^81+408x^82+2132x^83+372x^84+1460x^85+380x^86+734x^87+321x^88+342x^89+211x^90+138x^91+157x^92+98x^93+72x^94+34x^95+45x^96+14x^97+18x^98+4x^99+7x^100+2x^101+3x^102+2x^108+1x^118 The gray image is a code over GF(2) with n=324, k=14 and d=136. This code was found by Heurico 1.16 in 23 seconds.