The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 2 2 0 1 1 0 1 1 0 0 1 0 1 0 2 1 1 1 1 1 0 1 0 2 2 2 1 2 1 0 2 1 1 0 1 2 1 0 1 1 2 1 2 1 2 0 0 1 0 1 2 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 3 0 1 2 1 3 2 0 2 1 3 1 2 1 2 1 2 0 2 1 1 2 2 3 2 0 0 0 3 2 2 1 2 1 1 3 2 1 2 3 2 2 2 2 1 1 3 2 0 1 0 2 1 0 2 1 0 2 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 3 1 1 3 1 1 1 1 1 1 2 1 3 2 1 1 3 1 1 1 1 2 3 2 1 2 1 0 0 0 2 0 3 0 3 1 3 2 2 1 0 2 3 3 1 3 0 2 2 0 1 1 0 3 2 0 3 0 0 0 0 1 0 0 0 1 1 1 1 3 2 2 2 0 3 1 1 0 0 0 3 2 0 0 1 0 1 2 1 3 0 0 1 1 1 2 2 3 1 3 3 0 1 1 2 1 1 2 1 3 1 3 0 2 0 0 1 2 1 0 0 3 2 0 2 1 3 1 3 1 0 2 3 2 0 1 0 3 2 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 2 3 3 2 1 3 0 3 2 2 1 1 0 1 0 3 1 0 0 2 0 0 0 1 3 1 0 1 3 3 0 2 3 1 3 0 3 3 0 2 0 3 1 2 1 3 3 3 3 3 1 2 3 2 1 3 0 2 3 1 0 0 1 2 2 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 2 3 3 0 1 0 1 2 2 3 2 1 3 1 0 1 2 3 3 0 0 0 1 0 0 1 0 2 3 2 3 2 1 3 3 3 3 1 3 2 0 1 3 2 3 0 0 2 3 0 0 2 0 2 3 1 2 0 3 1 3 0 1 1 0 3 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+243x^68+644x^70+1053x^72+1210x^74+1506x^76+1782x^78+1813x^80+1832x^82+1732x^84+1464x^86+1271x^88+866x^90+570x^92+238x^94+110x^96+28x^98+19x^100+1x^108+1x^124 The gray image is a code over GF(2) with n=162, k=14 and d=68. This code was found by Heurico 1.16 in 54.2 seconds.