The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 2 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 2 1 0 1 1 1 0 2 1 1 1 1 2 1 0 1 1 2 0 2 2 1 1 0 1 1 2 0 1 1 0 1 2 0 0 1 0 2 1 1 0 1 1 0 2 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 3 1 1 1 2 1 1 1 0 2 0 1 1 1 1 0 3 1 0 0 2 2 1 0 3 3 2 1 1 0 2 1 2 0 1 0 3 1 1 1 1 1 0 1 3 1 1 1 2 2 1 3 1 1 2 2 0 1 1 2 1 3 2 2 1 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 0 3 2 3 1 3 1 0 3 2 1 0 3 0 3 0 3 3 2 2 1 1 3 3 2 2 1 2 3 2 3 0 1 0 3 1 3 2 1 1 0 3 1 2 0 2 3 1 3 3 3 1 3 0 1 3 1 3 0 2 2 1 3 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+143x^68+202x^70+569x^72+570x^74+880x^76+816x^78+1022x^80+844x^82+959x^84+730x^86+638x^88+338x^90+257x^92+76x^94+97x^96+8x^98+30x^100+9x^104+3x^108 The gray image is a code over GF(2) with n=162, k=13 and d=68. This code was found by Heurico 1.16 in 14.3 seconds.