The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 2 1 1 0 2 1 1 X 1 1 1 X 1 0 1 X 1 1 X 1 1 X+2 X+2 1 0 1 1 0 0 1 2 1 X+2 2 2 X+2 1 1 1 1 1 1 X X X+2 1 2 1 X 1 X+2 X X 1 0 X+2 1 1 2 1 1 X+2 0 1 1 0 1 1 1 0 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 1 X+3 2 1 1 0 X+1 1 X+3 0 1 X+2 0 X 3 1 3 X+3 1 2 X 2 X+2 X 1 X+2 X+3 1 1 0 1 0 1 1 X 2 2 X+1 0 2 0 3 1 1 X X 0 X+1 1 X+3 X+2 1 X+2 2 1 1 X+3 0 0 1 X 0 X+2 X+3 X+1 X+2 X 1 X+3 1 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 0 0 X 1 X X X+3 X+3 1 X+3 X 1 3 0 X+3 X 3 X+2 1 3 1 1 2 X+1 2 2 0 1 1 2 X X+2 2 X X+2 1 X+1 2 0 3 2 1 3 3 X+2 2 1 X 2 X+2 1 2 X 2 X+1 2 0 X+3 1 2 2 1 1 X+3 1 1 X+2 X 2 2 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 X+2 X+2 X+2 0 1 X+3 X+1 3 2 1 X+1 3 X+2 1 3 2 X 3 X 0 X+1 0 1 X+2 X+3 0 2 X+1 X X+2 X X+1 3 3 1 3 2 X+3 1 X+3 0 X+3 3 3 1 1 X+3 X+3 X+3 1 2 0 1 X+3 1 2 X+3 X 2 X X+2 X X+1 X+1 3 3 1 1 3 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+160x^77+386x^78+664x^79+822x^80+962x^81+1183x^82+1138x^83+1188x^84+1282x^85+1249x^86+1262x^87+1235x^88+1078x^89+913x^90+754x^91+670x^92+548x^93+311x^94+204x^95+152x^96+92x^97+52x^98+40x^99+25x^100+6x^101+2x^102+2x^103+2x^104+1x^108 The gray image is a code over GF(2) with n=344, k=14 and d=154. This code was found by Heurico 1.16 in 15.9 seconds.