The generator matrix 1 0 1 1 1 0 1 1 0 1 2 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 2 1 1 1 1 0 1 1 2 1 1 1 1 2 2 1 1 1 0 1 1 1 1 0 1 2 1 1 2 1 0 1 1 1 1 0 0 0 1 1 0 2 2 0 1 1 0 1 1 0 3 1 3 1 0 0 1 3 0 1 3 2 0 2 3 1 2 2 3 1 0 0 0 0 1 1 0 2 0 1 3 2 1 3 0 1 0 1 2 2 2 2 0 2 2 2 3 1 3 1 2 1 1 1 1 2 2 1 2 1 1 2 1 2 1 1 0 0 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 generates a code of length 74 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+80x^68+78x^70+97x^72+66x^74+69x^76+34x^78+38x^80+14x^82+25x^84+6x^88+1x^96+1x^100+1x^104+1x^108 The gray image is a code over GF(2) with n=148, k=9 and d=68. This code was found by Heurico 1.16 in 0.127 seconds.