The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 2 X+2 X 2 2 1 1 1 1 1 1 1 X 2 1 X+2 1 0 1 1 X X+2 X+2 1 1 1 X+2 1 X 1 0 2 1 1 1 1 X X X 1 1 1 2 X X 1 1 0 0 1 1 1 X+2 2 1 1 1 0 1 1 X+2 1 X+2 1 X+2 1 1 0 X+2 0 X+2 X+2 X+2 X+2 1 2 1 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X+2 1 1 X+1 X+2 2 3 3 X+3 0 1 X X+2 1 X 1 2 1 1 1 X+2 3 0 X 1 X+1 1 3 2 X+2 X X+1 X+2 X+1 2 1 X 1 X+3 0 1 1 X+2 0 X 1 X+2 X X+1 X+2 2 1 2 3 X+3 X+2 X+1 2 1 X 2 2 X X+1 X+2 1 1 X+2 1 1 1 1 X+3 0 0 1 0 0 0 1 1 X+3 X+2 1 X+1 X+2 1 1 0 1 0 1 X+1 X X+3 0 X+3 X 0 1 3 X 1 X+2 X+1 3 2 X+2 1 X+3 0 1 X+2 3 X 3 X+2 X X+3 1 1 X+3 2 2 X+3 1 3 1 X+2 X+1 X+1 3 X+1 1 2 X+3 X+3 1 3 X+3 X 1 3 3 2 0 1 X+3 X+1 X+3 X 1 1 1 1 X+1 1 X 1 0 1 0 X X 1 3 3 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 2 0 0 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+32x^82+190x^83+265x^84+514x^85+399x^86+842x^87+462x^88+812x^89+456x^90+806x^91+464x^92+590x^93+358x^94+592x^95+285x^96+368x^97+174x^98+218x^99+105x^100+126x^101+41x^102+34x^103+9x^104+20x^105+10x^106+2x^107+4x^108+2x^109+2x^110+4x^111+2x^112+2x^116+1x^120 The gray image is a code over GF(2) with n=364, k=13 and d=164. This code was found by Heurico 1.16 in 5.45 seconds.