The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 1 0 1 X+2 1 1 0 1 X+2 1 1 1 1 0 1 1 1 X+2 1 0 1 X+2 1 1 1 1 1 1 1 1 0 1 X+2 1 0 1 X+2 1 1 1 X 1 X 1 1 2 2 1 1 1 1 X+2 0 2 1 1 1 1 1 1 1 0 1 X 1 X 1 1 X X 1 1 1 X+2 1 X+2 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 3 0 1 X+2 1 X+1 X+3 1 X+2 1 3 0 X+1 0 1 X+2 3 0 1 X+1 1 X+1 1 X+2 3 0 X 0 2 X+2 3 1 3 1 X+1 1 X+1 1 2 X+3 1 1 3 1 X+2 0 1 1 1 2 X+2 2 1 1 1 3 X 3 X+3 X+1 0 1 1 X+2 1 0 1 3 0 1 1 X+2 X 1 1 X+2 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 0 0 2 2 2 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+70x^84+64x^86+4x^87+365x^88+48x^89+440x^90+208x^91+1148x^92+404x^93+1408x^94+584x^95+1805x^96+800x^97+1808x^98+800x^99+1779x^100+584x^101+1408x^102+404x^103+1072x^104+208x^105+440x^106+48x^107+275x^108+4x^109+64x^110+65x^112+45x^116+18x^120+9x^124+1x^128+2x^132+1x^136 The gray image is a code over GF(2) with n=392, k=14 and d=168. This code was found by Heurico 1.16 in 26.8 seconds.