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 1 1 1 2 1 1 0 X+2 1 2 X 1 X 1 2 X+2 1 1 X+2 X+2 1 1 1 1 X 0 1 2 1 0 X X X+2 1 1 1 1 1 1 1 1 X+2 X+2 X 2 1 2 0 2 0 1 1 1 X 1 1 1 X 0 X+2 1 2 1 1 1 1 1 0 1 2 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 0 X+2 X+1 2 X+3 0 X+2 1 X+2 X+2 X 0 2 1 1 X+2 X+1 1 1 1 X X+1 1 0 0 1 X X+2 X+2 1 2 1 1 1 X+2 2 X 2 1 X+3 3 0 1 1 1 2 1 X+2 X+2 1 3 0 0 1 1 X+1 0 1 1 2 X+1 1 1 X X+3 X+2 X 1 2 1 3 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 1 X+3 X+1 0 X+3 X+3 1 X X 1 X+1 X+3 1 3 2 X 2 X 2 X+3 X+2 1 X+1 X+1 X 3 X+3 1 3 X+1 2 X+1 3 2 X+2 X+3 3 0 X X+2 2 X+1 0 X+3 1 1 2 X X+3 1 2 0 0 X+2 X+1 X+2 1 3 2 X+1 0 X+1 1 2 1 3 0 1 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 2 X+1 0 3 1 1 X+3 X+2 1 X+1 X+3 X 3 X X+3 X+2 X+3 X 2 X+3 2 2 1 X+2 1 1 2 X+3 X X+2 1 X+1 3 2 0 X 3 2 2 1 3 X+1 2 X+3 3 X+1 X+2 X+3 3 X+3 0 3 X+1 3 0 X 2 X 3 X+2 X+1 X 2 1 X+3 1 X+3 X+3 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+223x^84+410x^85+703x^86+728x^87+1196x^88+1012x^89+1282x^90+1062x^91+1431x^92+1068x^93+1249x^94+986x^95+1189x^96+786x^97+808x^98+532x^99+629x^100+302x^101+322x^102+188x^103+154x^104+66x^105+13x^106+22x^107+9x^108+2x^109+6x^110+2x^111+1x^114+2x^117 The gray image is a code over GF(2) with n=372, k=14 and d=168. This code was found by Heurico 1.16 in 17.4 seconds.