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 2 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 X X 1 1 1 1 2 1 1 1 0 X 1 0 1 1 1 1 1 1 2 1 1 1 1 1 X 1 1 0 1 1 1 1 1 0 X 0 0 0 X X+2 X 2 0 X+2 X+2 2 2 X+2 X+2 2 0 X+2 X+2 0 X 2 X+2 0 X+2 0 0 2 X X X+2 0 2 X 2 0 X X+2 X+2 X+2 2 0 X 0 0 2 X+2 0 X+2 0 0 X X+2 2 X X+2 2 0 0 2 X X+2 X+2 0 2 2 X X X 0 X+2 X+2 X X+2 0 2 2 X+2 X 0 2 0 X 2 X 2 X+2 X+2 X X 2 2 X+2 X+2 2 X+2 X 0 0 X 0 X X X 0 2 0 X+2 2 X X+2 X+2 2 0 X+2 X 0 0 2 X+2 X 0 X X 2 X+2 X 2 0 0 0 X X X 2 0 X+2 0 2 2 X+2 X+2 X+2 X 0 0 0 X+2 X X+2 2 0 0 2 X X+2 X X 2 X+2 0 2 2 X+2 0 X X+2 X 2 X+2 2 2 0 X 0 X+2 0 2 X X+2 0 X 0 X+2 2 X+2 X+2 2 0 X 0 2 X 2 X 0 0 0 X X 0 X X+2 0 X+2 X 2 0 X 0 X+2 X 2 X+2 2 0 X+2 X+2 2 0 2 2 X+2 X+2 X+2 X+2 0 2 X 2 0 X+2 X+2 0 X+2 0 X 0 2 0 X+2 X X 2 X+2 X 0 X 2 X+2 0 X 0 0 X+2 2 0 0 2 X X 2 X 2 0 2 X X+2 2 X X+2 X 0 X X X 2 X+2 X X+2 X X+2 X+2 X+2 X 2 X 0 X 0 2 X 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+69x^90+167x^92+20x^93+187x^94+100x^95+261x^96+104x^97+320x^98+200x^99+206x^100+68x^101+116x^102+20x^103+66x^104+44x^106+42x^108+24x^110+12x^112+7x^114+12x^116+1x^118+1x^172 The gray image is a code over GF(2) with n=392, k=11 and d=180. This code was found by Heurico 1.16 in 1.23 seconds.