The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 X 1 0 1 1 1 0 1 1 1 X+2 1 0 1 X+2 1 0 1 1 1 1 1 1 1 0 X+2 1 2 2 1 2 1 X X 1 1 1 X 1 X+2 1 2 2 1 1 1 1 1 1 X X X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 X+2 1 X+1 0 X+1 1 X+2 0 3 1 0 1 X+1 1 3 1 X+3 X+2 X 3 X+1 2 0 1 1 2 1 1 X+2 1 X 1 1 X+1 X+3 X+2 2 X+3 1 3 1 X 3 X+3 0 X+1 0 X 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+329x^64+384x^66+681x^68+700x^70+691x^72+588x^74+475x^76+116x^78+100x^80+4x^82+11x^84+12x^88+1x^92+2x^96+1x^104 The gray image is a code over GF(2) with n=284, k=12 and d=128. This code was found by Heurico 1.16 in 46.4 seconds.