The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 X+2 1 1 1 1 0 1 1 X+2 1 1 1 0 1 1 X+2 2 X 1 1 1 1 1 0 X+2 1 1 1 1 X+2 1 2 X 1 1 1 1 1 1 0 1 X X 1 1 1 X 2 1 0 X+2 2 1 1 X+2 X 1 1 0 X+2 1 1 X+2 1 X X 1 0 1 1 X 0 1 X+1 X+2 1 1 0 X+1 1 3 1 X+2 0 X+1 1 1 3 X+2 2 X+1 1 X+2 3 1 X 0 X+3 1 X+2 3 1 1 1 3 X+1 0 X+2 3 1 1 1 X+1 0 X+2 1 0 1 1 X+1 2 X+1 X+3 X 3 1 3 1 0 X+1 1 1 1 1 X+3 1 1 1 3 X 1 X+2 3 1 1 1 X+3 2 1 0 2 1 3 1 3 X+2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+276x^80+236x^82+464x^84+188x^86+406x^88+196x^90+227x^92+20x^94+20x^96+4x^100+4x^104+1x^108+3x^112+2x^120 The gray image is a code over GF(2) with n=344, k=11 and d=160. This code was found by Heurico 1.16 in 0.66 seconds.