The generator matrix 1 0 0 1 1 1 2 0 0 2 1 1 1 1 1 1 1 0 1 X X X X 1 1 1 2 0 1 1 1 1 X X+2 1 1 1 2 1 X+2 2 1 X+2 0 1 1 1 1 1 0 X+2 0 1 1 1 0 X 1 1 X+2 1 1 X+2 2 1 1 X+2 2 X+2 X+2 1 2 0 1 1 1 1 X 1 0 1 1 2 1 1 1 1 1 1 2 0 X+2 1 1 2 1 1 X+2 0 1 0 0 1 X+1 1 1 1 0 0 X+1 2 3 X+1 X+3 X X+2 X+2 1 1 1 X X+2 X+2 3 1 X 1 1 2 2 X 1 2 3 3 1 X+2 1 1 X+1 2 1 2 3 X+2 0 X+1 X 1 1 X 1 X+2 1 X+2 X+1 X+1 1 0 0 0 1 X 0 1 1 1 1 X+1 1 1 0 3 2 X+2 0 X+1 1 X+3 X+1 1 X 2 3 X+3 0 0 1 X 0 0 1 1 2 X 1 0 0 1 1 1 0 X+1 3 X+2 1 X+2 X+3 X+1 X+2 1 X 0 1 X+3 X 1 2 1 3 X+2 X+1 X+1 1 0 3 3 X 1 X X+1 X X 1 0 X+3 2 1 1 1 3 0 X+2 0 X+3 1 X X 1 X+3 X+2 X 1 X+1 X X X+2 0 1 3 X+1 0 X+1 X+2 2 2 3 X+3 X+1 2 1 X 1 1 0 X+3 X+3 2 1 X+1 3 3 2 X+2 1 X 1 1 3 2 2 X+1 X+2 X 0 0 0 X X+2 0 X+2 X+2 0 X 0 X X 2 X+2 2 0 X+2 X 2 X 0 X+2 X 0 X+2 X+2 X 2 X+2 X+2 2 X 0 X X X 2 X 0 X 0 0 2 2 X+2 X+2 X+2 2 2 X+2 X+2 0 2 X 0 2 0 X X X+2 0 0 0 X+2 X+2 X+2 X X X 2 X+2 X 2 X X 2 X X+2 X 0 X X+2 X 2 0 X+2 0 2 X+2 0 X+2 X+2 X+2 0 X+2 X+2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 2 2 2 0 0 2 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+241x^90+252x^91+599x^92+384x^93+717x^94+516x^95+913x^96+516x^97+657x^98+432x^99+650x^100+360x^101+492x^102+268x^103+367x^104+180x^105+240x^106+108x^107+131x^108+32x^109+36x^110+24x^111+42x^112+14x^114+16x^116+3x^118+1x^120 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 7.02 seconds.