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 X 0 1 1 1 1 X 1 X 1 1 1 1 1 0 1 1 1 0 1 X 1 0 1 X 1 1 1 0 1 1 1 X 1 1 0 0 1 X 1 1 X 2 1 X X 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 2 X+2 X+2 0 0 X+2 X 2 0 2 2 X+2 X X X X+2 X X+2 X+2 X+2 0 X+2 0 0 X+2 X 0 2 X X 0 X+2 0 X 2 X+2 0 2 2 X 2 0 0 X+2 X+2 X X X X+2 X+2 2 2 X X X+2 X+2 X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 0 2 0 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+93x^64+118x^66+389x^68+376x^70+710x^72+804x^74+667x^76+376x^78+334x^80+118x^82+66x^84+24x^88+11x^92+5x^96+3x^100+1x^112 The gray image is a code over GF(2) with n=296, k=12 and d=128. This code was found by Heurico 1.16 in 1.92 seconds.