The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 1 X+2 1 1 0 1 X+2 1 1 1 1 1 1 2 1 1 X 1 1 1 0 1 X+2 1 1 1 2 1 1 X+2 1 0 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 0 2 0 1 0 1 1 X+2 1 1 X 1 X 1 1 X 1 0 0 1 X+1 X+2 1 1 0 X+1 1 3 1 X+2 0 X+1 1 X+2 3 1 2 X+1 1 3 1 X+2 X 0 0 X+2 X+3 1 X+2 3 1 0 X+1 X 1 0 1 3 2 X+3 1 X+2 1 1 X+1 1 3 1 X 2 0 X+2 0 X+2 0 X+2 2 2 X 2 X+2 0 X X X+2 X+2 X+2 X+2 X+3 1 1 1 X 1 3 0 1 X+2 X+3 0 2 1 X+1 1 0 3 X 0 0 2 0 0 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 0 2 2 0 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+92x^82+36x^83+234x^84+84x^85+277x^86+92x^87+240x^88+92x^89+158x^90+92x^91+206x^92+76x^93+196x^94+36x^95+63x^96+4x^97+37x^98+22x^100+7x^102+2x^124+1x^130 The gray image is a code over GF(2) with n=356, k=11 and d=164. This code was found by Heurico 1.16 in 0.716 seconds.