The generator matrix 1 0 1 1 1 X+2 1 1 X+2 1 1 0 1 1 X X+2 1 1 0 1 1 2 1 1 1 1 X+2 0 1 1 X 1 1 X+2 1 1 1 X+2 1 1 0 X+2 1 1 1 X X 1 X 1 0 1 1 2 0 0 1 1 1 1 X+2 1 1 1 1 X+2 1 1 1 1 1 1 1 1 0 1 2 0 1 1 1 1 2 X+2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 1 1 0 X+3 1 2 X+3 1 X 1 1 X X+1 1 1 1 X+2 1 3 X+2 1 X+3 0 3 X 1 1 X+3 X 1 X 3 1 X+3 2 2 1 3 1 1 1 X+2 X+1 3 1 1 X 1 3 1 3 X 1 1 1 X+3 X+2 X+1 2 1 3 3 X+2 X+1 1 X+1 X+1 X X 0 X 1 1 1 2 1 1 X+1 1 3 2 1 1 2 X+3 0 X+2 0 1 2 3 3 X+1 X+1 2 3 2 0 0 X 0 X+2 0 X 2 X 2 0 X+2 X 2 0 X+2 X X 0 2 0 X+2 X X+2 2 X X+2 X 0 X 0 0 0 2 X X+2 0 0 2 2 X+2 X+2 0 2 0 X+2 0 X+2 X+2 X+2 X+2 X 0 2 X 2 X X X 2 2 X+2 0 0 2 X 2 0 X+2 X 2 X+2 X+2 2 0 X X 0 2 X+2 X+2 X+2 X+2 2 2 0 2 0 X X+2 X+2 X 2 X+2 0 2 X+2 0 0 0 0 X 0 0 0 X X X+2 X+2 X 2 0 X+2 2 X+2 X X 2 0 2 X+2 X+2 X 2 X 2 X X+2 X X+2 2 0 2 0 X X+2 2 X+2 0 2 0 X X X+2 2 X+2 X X+2 0 X 2 2 X X 0 X+2 0 0 X+2 X+2 0 X+2 X+2 0 2 0 2 0 0 0 2 2 X X+2 X X+2 2 2 0 0 2 0 X+2 0 X X 2 2 0 0 0 X X X 0 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 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+109x^90+84x^91+321x^92+248x^93+380x^94+204x^95+369x^96+244x^97+362x^98+192x^99+334x^100+256x^101+304x^102+220x^103+195x^104+84x^105+87x^106+4x^107+24x^108+20x^110+17x^112+14x^114+16x^116+4x^118+1x^120+1x^132+1x^136 The gray image is a code over GF(2) with n=392, k=12 and d=180. This code was found by Heurico 1.16 in 2.1 seconds.