The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 2 1 X+2 1 1 X+2 1 0 X+2 2 X+2 1 1 1 1 1 1 1 2 X 1 1 0 X+2 1 2 1 X+2 1 1 1 X X 0 1 1 2 1 1 X+2 1 1 1 1 1 1 1 1 0 2 1 X 1 0 1 X+2 X+2 2 X 1 0 1 1 X X+2 1 1 1 0 2 1 X 1 0 1 0 0 1 X+3 1 3 1 X X+1 1 X 2 X 1 X+3 X+2 1 1 X+2 1 1 X+2 X 3 0 1 0 X+3 X+2 1 0 X+1 X+3 1 1 2 1 0 X+2 3 2 X X 1 2 3 1 1 X 0 1 3 0 1 X 0 X+1 0 X+3 2 1 X+3 1 X+1 1 X+3 1 2 1 X 1 1 X X+1 1 X 3 3 0 1 X X+1 1 0 0 0 1 1 1 0 1 X X+1 X+3 1 X+2 X 1 X+3 3 3 X+2 2 X 1 X+2 1 1 1 X+1 2 0 2 X+3 1 0 1 X+2 2 X+2 3 2 X+1 X+1 1 3 X+1 2 1 X+3 1 X+2 3 0 X+3 X+3 3 1 X 0 X+3 X+2 X+2 X+3 X 1 1 2 X+2 X 0 X+2 X+3 1 X 1 X+1 2 3 2 0 1 1 1 X+2 X 1 X+1 X+1 0 0 0 0 X 0 0 2 0 2 X 2 2 0 X+2 0 X X+2 X+2 X+2 X 2 X+2 X X 0 X+2 X X+2 X+2 0 2 X X+2 X 0 X+2 0 2 X+2 0 0 0 X X+2 X+2 2 0 X+2 2 2 2 X X X+2 X+2 2 2 0 X+2 2 2 X+2 X 0 X+2 2 0 X 2 2 X X X 0 X X 0 X+2 2 X 2 X+2 X+2 X+2 X+2 0 0 0 0 0 X X+2 X+2 X+2 X 0 X 2 2 0 0 X+2 X 2 0 X+2 0 0 X 2 2 X 2 2 X+2 0 X+2 2 X+2 X+2 0 X+2 2 X 2 X X 0 0 X X+2 0 X+2 0 X X+2 X X+2 X+2 2 X 2 0 X X X X+2 X X+2 2 X 0 X+2 2 X 0 0 0 0 2 2 X 2 0 X+2 X 0 2 X 2 X 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+56x^76+192x^77+441x^78+652x^79+777x^80+834x^81+1090x^82+1134x^83+1257x^84+1326x^85+1167x^86+1342x^87+1225x^88+1164x^89+918x^90+822x^91+672x^92+388x^93+341x^94+174x^95+148x^96+118x^97+60x^98+28x^99+15x^100+6x^101+11x^102+8x^103+9x^104+4x^105+4x^106 The gray image is a code over GF(2) with n=344, k=14 and d=152. This code was found by Heurico 1.16 in 18.1 seconds.