The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 X 0 1 1 X 1 1 1 1 2 1 1 X 1 1 2 1 2 1 1 1 2 1 1 1 1 X 0 X 1 X+2 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 2 1 X 1 1 2 1 1 1 0 1 1 X+2 X 1 1 1 1 X+2 X+2 0 X 1 1 1 2 1 1 0 1 1 0 X+3 1 X+1 X+2 1 2 3 1 X X+3 1 1 X+3 X+2 1 3 X 3 0 1 X+2 3 1 X+3 0 1 1 1 X+1 0 3 1 X X+1 X+2 X+3 1 1 1 0 1 X+1 X 2 X X+3 X+3 1 X+1 X+2 0 3 1 2 3 0 1 1 1 X+1 X+1 1 2 X+3 3 1 1 X+3 1 1 X+3 2 1 X 1 1 1 2 X X 3 1 X+1 0 0 0 X 0 X+2 0 2 2 X X+2 0 X+2 X+2 2 0 X+2 X+2 X+2 X 2 0 X+2 X 2 X+2 2 X 0 2 X X+2 0 2 X+2 X+2 2 X+2 X 2 X X 2 2 0 0 2 X+2 X 2 X+2 2 X+2 2 X 2 X X+2 2 0 X+2 X+2 X 2 X X+2 2 2 0 2 2 X X+2 2 2 2 2 0 X+2 0 2 X X+2 2 2 0 X+2 2 0 0 0 0 X 0 0 0 2 2 2 2 0 2 X+2 X+2 X X X+2 X X+2 X+2 X+2 X X 0 2 X 2 0 X 0 X+2 X X+2 X X 2 0 X+2 X 2 0 X+2 X 0 0 X+2 2 X+2 X X+2 2 X+2 X X+2 X+2 X 0 X+2 0 2 X+2 2 0 2 2 0 0 2 X X+2 X+2 0 2 2 X X 2 0 0 X+2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+61x^80+116x^81+285x^82+230x^83+386x^84+240x^85+350x^86+216x^87+430x^88+246x^89+394x^90+182x^91+335x^92+172x^93+216x^94+78x^95+49x^96+14x^97+20x^98+14x^99+11x^100+8x^101+10x^102+14x^103+6x^104+4x^105+1x^106+2x^107+3x^110+1x^118+1x^120 The gray image is a code over GF(2) with n=352, k=12 and d=160. This code was found by Heurico 1.16 in 1.68 seconds.