The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 X 1 X 1 X 2 1 0 1 X 1 1 1 1 0 1 1 1 1 2 1 1 2 X 1 0 X 0 X 0 X 0 0 X X+2 0 2 X X+2 0 2 X X 0 2 X X+2 X+2 0 X 0 2 X X 2 2 X+2 0 X+2 X X 0 0 X X+2 0 0 2 X+2 X X 0 2 X+2 X+2 0 0 2 X+2 2 X 2 X+2 X+2 0 X+2 2 0 X+2 2 X X X 0 0 X X+2 2 X X 0 2 0 2 2 2 0 0 X X 2 X+2 X X X+2 2 0 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 0 0 X X 0 X+2 X 0 2 X+2 2 X+2 0 2 2 X+2 X+2 0 X+2 X X X+2 0 0 2 X+2 X+2 2 2 2 2 2 2 X+2 2 X+2 X+2 2 X+2 X X+2 0 X 0 2 2 2 X+2 X X+2 X+2 X X+2 X+2 X X X X+2 X+2 X X X+2 0 X+2 0 X+2 X+2 X+2 X+2 X X X X X 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+89x^82+4x^83+161x^84+28x^85+187x^86+84x^87+240x^88+140x^89+297x^90+140x^91+200x^92+84x^93+125x^94+28x^95+106x^96+4x^97+50x^98+32x^100+20x^102+16x^104+9x^108+2x^116+1x^152 The gray image is a code over GF(2) with n=360, k=11 and d=164. This code was found by Heurico 1.16 in 1.01 seconds.