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 1 X 1 X 1 X 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 1 1 1 1 X 1 1 1 1 1 1 2X+2 X 2X+2 1 1 0 2 0 0 0 2X+2 2 2X+2 0 0 0 0 2X+2 2 2X+2 2 0 0 0 0 2X+2 2 2X+2 2 0 2X+2 0 2 2X 0 2X 2X+2 2X 0 2X 2 2X 2 2X 2X+2 2X 2 2X 2X+2 2X 2 2X 2X+2 2X 2 2X 2X+2 2X+2 2X 2 2X 2X 2X 2 2X+2 2X 2X 2 2X+2 2X 2X 2 2X+2 0 2X 2X+2 2 0 2X+2 2X+2 2X 2 2X 2X+2 2 2X 2 2 2X+2 0 0 0 0 2 0 2X+2 2X+2 2 0 0 0 2X+2 2 2X+2 2 0 0 2X 2X 2 2X+2 2 2X+2 2X 2X 2X 2 2X 2X+2 2X 2 2X+2 2X 0 2X+2 2 2X 2X 2 0 2 2 2X 2 0 2X 2X+2 2X 2X+2 2X+2 2X 2 2X 2 0 0 0 2X+2 2X+2 2 2X 0 2X 0 0 2X+2 2 2X+2 2X+2 0 2 2X+2 2X 0 2 0 2X 0 2X+2 2X 2X 2X+2 0 2X+2 2X 2 2X+2 0 0 0 2 2X+2 0 2 2X+2 2X 2X+2 2 2X 2X 2X+2 2 2X 2X 2X+2 2 2X 2X 2X+2 2 2X 0 0 2 2 2 2X+2 0 2X+2 2X+2 0 2X 0 0 0 2X+2 2X+2 2X+2 2X+2 2X 2X 2X 2X 2X+2 2 2X 2 2 0 2 2X 2 2 2X+2 0 2X 2X 0 2 2X+2 0 2 0 0 2X+2 0 2X+2 0 2 2X 0 2 2X 0 2X+2 2X+2 2X 0 2X 2 2X+2 2X 2X+2 generates a code of length 86 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+54x^82+8x^83+136x^84+184x^85+278x^86+184x^87+114x^88+8x^89+34x^90+19x^92+2x^94+1x^96+1x^156 The gray image is a code over GF(2) with n=688, k=10 and d=328. This code was found by Heurico 1.16 in 0.563 seconds.