The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 0 1 1 X+2 1 1 1 1 2 2 1 0 1 0 2 1 1 1 1 1 0 2 X+2 1 1 1 1 2 X 1 1 1 1 0 2 X+2 1 1 1 1 X+2 1 1 X+2 1 2 1 X+2 1 1 1 0 1 1 X+2 1 0 1 0 1 1 1 2 X 1 X X+2 0 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X 3 1 0 X+1 1 X+2 0 X+1 1 1 X 2 1 X 1 0 X+1 X+3 2 X+2 3 1 X+2 X 2 0 X 3 1 1 1 X+3 X+3 2 1 1 0 X+1 X+2 1 0 1 X+2 X 1 2 1 X+3 1 X+3 X+1 0 1 X+2 1 1 3 X+2 X+2 2 3 2 X 1 1 X+3 1 2 X+2 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 X+2 2 1 X+3 3 X+2 0 3 X+3 X 1 1 X X+2 X+2 X+1 1 X+2 X+1 X+2 X+3 1 X+1 1 1 0 X+3 1 X+3 2 3 X 3 X+2 0 3 0 1 1 0 X 1 3 0 3 X+1 X 2 2 1 X+1 2 0 3 X X 1 2 1 X+2 1 0 1 1 1 X+1 3 X 1 1 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 2 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+67x^76+206x^77+335x^78+644x^79+800x^80+980x^81+984x^82+1084x^83+1201x^84+1210x^85+1472x^86+1312x^87+1305x^88+1118x^89+966x^90+794x^91+573x^92+478x^93+292x^94+236x^95+117x^96+76x^97+28x^98+24x^99+23x^100+26x^101+12x^102+9x^104+2x^105+6x^106+2x^107+1x^110 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 18.4 seconds.