The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 1 2 1 2 0 1 0 1 1 2 1 X+2 1 1 0 1 X 1 X+2 1 0 1 X 1 X X 1 1 1 1 X 1 1 1 X+2 1 0 1 0 1 X+2 2 1 1 2 0 0 1 X 0 1 1 2 1 1 1 1 1 0 1 X 1 1 X 1 1 X+2 1 1 1 1 1 1 1 X 1 2 1 1 1 X 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 X+1 1 X+2 1 1 X+3 X+2 X+2 X+3 2 X+1 2 2 0 1 1 1 X+3 2 X 1 0 X 2 1 1 X+2 1 X+2 X+2 1 1 1 X+2 X X 1 X+3 X 0 1 1 0 X+3 1 1 1 X 1 0 3 X+1 1 X+3 3 0 3 2 1 X+3 2 0 1 1 X X+1 1 X+1 X+2 1 X+3 X+3 X 2 1 X+1 0 3 3 X 1 X 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 X 2 2 3 X X+1 X 3 X+3 1 X 1 0 X+1 1 X X+3 1 2 0 2 1 1 0 X+1 X+3 X X X X+3 X+1 3 2 1 2 3 2 X+3 1 X+1 3 X+1 2 0 X+2 1 X+2 0 3 1 0 1 X+1 X+2 X+1 0 X X+3 X+3 X+2 1 X+2 0 0 1 3 1 0 0 X+1 X+3 0 0 1 X+2 X+1 1 X+1 X X 3 2 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 1 X+2 2 X+2 1 3 1 X 0 X+1 2 X 1 X+3 3 X+2 1 X+2 1 X+3 1 0 3 X X X+1 1 1 0 3 X 3 2 1 1 X+2 X+3 X+2 X X+2 X+1 2 X+3 X X+2 2 2 X+2 X+2 3 X+1 0 3 0 0 X+3 X+2 3 3 X+1 X+1 2 1 3 X+3 X 2 2 X+1 X+3 X+1 X+2 X+3 X+1 2 X+2 X+1 1 3 X+2 1 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 2 0 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+340x^89+308x^90+876x^91+717x^92+1152x^93+869x^94+1490x^95+898x^96+1410x^97+925x^98+1496x^99+732x^100+1256x^101+647x^102+948x^103+492x^104+652x^105+354x^106+384x^107+113x^108+168x^109+56x^110+50x^111+21x^112+6x^113+4x^114+4x^115+2x^116+8x^117+4x^118+1x^122 The gray image is a code over GF(2) with n=392, k=14 and d=178. This code was found by Heurico 1.16 in 36.9 seconds.