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 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1 1 1 X 1 0 1 1 1 1 X 1 1 1 0 1 1 1 1 1 1 1 X 1 2 1 1 X 1 X 1 X X 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X 0 X 2 X+2 X+2 X X+2 X 0 0 2 2 0 X+2 0 X+2 X X+2 0 X+2 X+2 X+2 0 0 X X+2 0 X X+2 X X+2 X X+2 2 0 X X X+2 2 X X+2 X+2 2 X 0 0 2 2 X X+2 0 X+2 2 X X+2 X 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 2 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+124x^68+66x^70+295x^72+314x^74+498x^76+334x^78+230x^80+46x^82+95x^84+8x^86+21x^88+10x^92+4x^96+1x^100+1x^128 The gray image is a code over GF(2) with n=304, k=11 and d=136. This code was found by Heurico 1.16 in 0.801 seconds.