The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 2 X+2 1 1 1 1 1 1 0 X 1 1 X+2 2 0 1 1 1 1 0 1 1 1 1 X+2 X 1 0 0 0 1 X X 1 X X+2 2 1 0 0 0 X+2 0 X 1 1 1 1 1 1 X+2 1 1 0 1 1 1 1 1 X 2 X X+2 0 X 1 1 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X 3 X+3 X 1 1 X X+2 X+2 0 2 3 1 1 0 X+3 1 2 X 1 X+1 X+3 X+2 1 X+1 0 X+3 2 0 1 1 1 1 1 0 X 1 X+3 1 1 X+2 0 1 0 1 1 2 1 0 3 2 X+3 3 X X 0 3 2 X+2 X+2 0 1 1 1 0 2 X+2 1 1 X+3 X+3 X+3 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 1 X+2 1 X+3 0 2 X+3 X 2 X+1 X+2 X+2 1 X 3 3 1 1 0 X 3 1 X+2 X+1 3 2 X 1 1 X+3 X+3 X 2 X+3 1 X+1 X X+2 3 1 X+1 X+1 1 3 2 1 X X+2 X+1 0 X 0 X+3 1 X X+1 1 X+3 1 2 3 1 X+1 1 1 1 0 X+3 1 1 X+2 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X X+2 2 2 0 X+2 X+2 X+2 X+2 X+2 X+2 2 2 X X+2 2 X+2 X 2 2 2 2 X+2 2 2 2 2 2 X 2 X+2 X+2 2 0 0 X 0 X X+2 X 0 2 X+2 0 X+2 X+2 2 X+2 0 2 2 0 0 X+2 X X 0 X X X+2 X 0 X+2 X+2 X X X 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+314x^76+228x^77+788x^78+564x^79+1148x^80+780x^81+1480x^82+1036x^83+1555x^84+948x^85+1450x^86+1056x^87+1431x^88+788x^89+948x^90+496x^91+639x^92+184x^93+258x^94+44x^95+119x^96+16x^97+58x^98+4x^99+35x^100+8x^102+5x^104+2x^106+1x^108 The gray image is a code over GF(2) with n=340, k=14 and d=152. This code was found by Heurico 1.16 in 72.2 seconds.