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 X 2 0 0 2 X 1 1 X X 1 1 2 1 1 X 1 2 1 1 1 1 1 1 0 1 1 1 X 1 1 X X X 1 0 2 1 X X 1 1 0 1 0 0 1 1 X 1 X 1 1 X 0 X 0 0 0 0 0 0 2 2 X X+2 X X X+2 X X+2 0 X+2 X+2 0 2 X X X 2 0 X+2 2 X+2 2 X 2 2 X+2 2 X 2 X 0 X 2 X X+2 X+2 0 2 X 0 2 2 X+2 0 X+2 2 X X X X X+2 X X 0 0 X+2 X 0 0 X X+2 X X 2 X+2 2 X+2 0 0 X+2 X 0 0 X 0 0 0 2 0 X 2 2 X+2 0 2 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2 2 2 X+2 X+2 X+2 X+2 X X X+2 2 X+2 0 X+2 X X+2 X+2 X+2 X X+2 X 2 X+2 X+2 2 X X 0 X+2 X 2 0 2 X X X+2 X X+2 X+2 X 2 0 2 0 2 X 0 X+2 0 X+2 X+2 X+2 0 X 0 0 2 X X X+2 X+2 2 X+2 X 2 X X+2 X+2 0 X X+2 X 0 X+2 2 X+2 2 X 0 X+2 X 2 2 X+2 2 X+2 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 2 0 X+2 X X X 2 2 X 0 0 X+2 X+2 0 X 2 0 X+2 0 X X 2 0 X+2 0 2 X+2 2 X+2 0 X+2 2 X+2 2 0 X X X+2 X 2 2 2 X 0 2 0 X 0 X+2 X+2 X+2 2 0 X+2 X+2 0 X+2 X 2 0 X+2 2 X+2 0 X+2 X+2 0 X+2 2 2 X+2 X 0 0 0 0 2 X+2 0 0 X X+2 0 X+2 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X+2 2 X X+2 X X X 0 X X 0 X 2 0 0 2 2 X X+2 0 2 0 X+2 0 X 0 X X X+2 2 0 X X+2 X 2 0 2 X 2 X 2 X 2 X X+2 X+2 2 X 2 0 0 2 2 X+2 X+2 X X X+2 2 2 X 2 2 0 2 X X+2 X+2 0 0 X+2 X 2 X 0 0 X+2 X X+2 X+2 2 0 X+2 0 0 0 0 0 X X 2 X+2 X X+2 2 X 2 X+2 X+2 2 X X+2 0 X 2 X 2 0 X 2 X 0 0 X X+2 0 0 2 X+2 X 0 X+2 2 X+2 X+2 2 0 X X+2 2 0 2 2 X+2 0 0 0 X+2 2 X+2 2 X X X X X X 2 X X X X X X 0 2 2 2 0 X+2 0 X 0 2 0 2 0 X 0 X 2 0 X+2 2 2 0 2 X X+2 X 0 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+96x^87+118x^88+208x^89+237x^90+260x^91+345x^92+476x^93+498x^94+468x^95+573x^96+626x^97+691x^98+526x^99+623x^100+516x^101+389x^102+384x^103+244x^104+214x^105+136x^106+114x^107+100x^108+106x^109+71x^110+58x^111+30x^112+24x^113+20x^114+12x^115+8x^116+6x^117+4x^118+2x^119+5x^120+2x^126+1x^144 The gray image is a code over GF(2) with n=392, k=13 and d=174. This code was found by Heurico 1.16 in 93.2 seconds.