The generator matrix 1 0 0 1 1 1 0 1 1 2 1 1 X X X+2 1 1 1 1 X+2 X+2 1 X 1 1 2 X 0 1 1 1 1 1 X 1 1 1 1 0 0 0 2 1 1 0 1 0 1 1 X X 0 X+2 1 1 1 X+2 1 1 0 X 1 2 2 1 0 X+2 2 1 X+2 1 2 1 2 X+2 1 1 X 1 1 1 X 1 1 1 2 X 1 1 2 2 2 1 1 1 X 1 1 0 1 0 0 1 1 1 2 1 1 X+1 X X+2 1 1 X+2 X+3 X+3 X 1 0 1 1 X X+2 1 X+2 1 1 3 2 X+3 0 1 X X X+3 3 1 X+2 X+2 1 0 X+3 1 2 1 X 1 2 0 1 1 1 2 2 2 3 1 1 1 0 1 1 X+3 X 1 0 0 1 0 1 X+2 1 1 X+1 X+1 1 2 X X+3 1 1 2 0 1 1 0 2 1 1 1 X+1 3 0 X+2 X X 0 0 1 X+1 X+3 0 X+1 X 1 X 0 3 1 X+1 0 X X+3 X X+3 1 1 X+1 X 2 0 1 1 X+2 X X+2 3 3 1 X+3 X+2 3 1 2 0 1 1 0 X X 1 2 X+3 X+1 1 1 1 X+1 3 X+1 X+1 X 1 X+3 X+2 3 3 2 X+2 1 X 1 1 1 2 2 X+3 X+1 2 X+1 X+3 3 X+2 X+2 0 X+2 X+1 X+2 X+3 X+1 1 0 X+1 X X+2 X+2 1 X X+1 X+1 0 1 3 X 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 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+360x^90+920x^92+1257x^94+1258x^96+1144x^98+1064x^100+900x^102+616x^104+318x^106+195x^108+95x^110+37x^112+18x^114+4x^116+4x^118+1x^124 The gray image is a code over GF(2) with n=392, k=13 and d=180. This code was found by Heurico 1.16 in 14.7 seconds.