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 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 2X+2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 0 2 0 2 0 2 0 2 0 2 2 0 2X+2 0 2X 2X+2 0 2 2X 2X+2 2X 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2 0 2X+2 2X 2X+2 0 2 0 2X+2 2X 2 2X 2X+2 0 2 2X 2 2X 2X+2 2X 2 0 2 0 2 0 2X 0 2 2X+2 2X 0 2X 2 2X+2 0 2X 2X 2X 2 2 2X+2 2X+2 0 0 2 2X+2 2X 0 2 0 2 2X+2 2 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 0 0 2X 0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 0 2X 0 0 2X 2X 0 2X 0 2X 2X 0 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 2X 0 0 2X 2X 2X 0 0 2X 0 0 0 0 0 2X 0 0 2X 0 2X 2X 2X 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 0 2X 0 2X 0 0 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 0 2X 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 0 0 generates a code of length 86 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+61x^80+62x^82+64x^83+129x^84+128x^85+1106x^86+320x^87+70x^88+18x^90+38x^92+30x^94+20x^96+1x^164 The gray image is a code over GF(2) with n=688, k=11 and d=320. This code was found by Heurico 1.16 in 0.89 seconds.