The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 2 1 1 2 1 1 1 1 X+2 1 X+2 1 0 1 1 1 1 1 1 2 2 2 1 1 1 1 2 0 0 1 1 1 1 X+2 X X+2 X+2 2 X+2 2 0 0 X X 0 2 X X+2 1 1 1 1 1 1 1 1 X+2 X X 1 1 0 X+2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+2 1 X+3 X+3 1 0 3 3 0 1 2 1 X+2 1 X+1 3 2 X X+3 1 1 1 1 X+2 X+1 0 3 1 1 1 2 X X+3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 X X+3 1 X+3 2 X 1 1 2 1 1 0 0 1 2 X 3 1 X+2 0 X+2 X+3 3 X 2 2 2 X+1 3 X+2 1 X X X+2 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 X X+2 0 2 2 0 X X X 2 2 0 2 0 2 X X X X X X+2 0 2 2 2 0 X 2 X+2 X+2 X+2 X+2 X+2 2 X X 0 0 0 X+2 X+2 0 0 0 2 2 X X+2 X X X X X X X X X+2 X+2 X 2 X X 2 X X 2 0 X+2 X 2 0 0 0 2 0 2 X X 0 2 2 X 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 2 0 2 2 2 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+172x^90+448x^92+653x^94+589x^96+577x^98+574x^100+451x^102+342x^104+148x^106+56x^108+36x^110+31x^112+10x^114+4x^116+1x^120+1x^122+1x^124+1x^132 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 2.15 seconds.