The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 2 1 1 0 1 0 1 1 1 1 0 2 1 1 0 0 1 1 1 1 2 1 1 1 1 2 0 1 1 1 1 1 0 1 1 1 1 2 1 1 0 1 1 1 1 1 1 2 1 1 2 2 0 0 1 1 2 1 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 3 1 0 3 1 0 2 1 3 1 2 3 3 0 1 1 1 3 1 1 0 2 3 3 1 3 0 2 3 1 1 0 1 2 2 0 1 2 0 2 1 1 0 0 1 2 2 2 2 2 0 1 1 2 0 1 1 1 1 3 1 3 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 generates a code of length 77 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+184x^68+148x^70+292x^72+180x^74+283x^76+204x^78+228x^80+188x^82+186x^84+48x^86+54x^88+32x^92+15x^96+2x^100+2x^104+1x^108 The gray image is a code over GF(2) with n=154, k=11 and d=68. This code was found by Heurico 1.16 in 31.9 seconds.