The generator matrix 1 0 1 1 1 X+2 1 1 X 1 1 2 X+2 1 X+2 1 1 1 0 1 1 1 1 2 2 X+2 2 X 0 X+2 0 X+2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 1 1 1 0 X 1 1 1 X+2 X X+2 2 1 1 X 1 X X+2 2 2 1 1 1 X 1 X+2 1 1 2 1 X+2 2 0 0 1 1 X+2 X+3 1 2 X+1 1 X 3 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X+2 2 X X+1 3 0 X+2 2 X X+3 1 1 X+3 X+1 3 X+3 1 0 X+3 X+2 3 3 2 3 1 0 X+3 X 0 1 1 1 1 X 0 1 0 1 1 1 1 X+3 X X 1 X+3 1 2 0 2 X 1 1 2 0 0 X 0 X+2 0 X 2 X X+2 0 X+2 2 2 X 2 X X 2 X+2 X+2 2 0 X+2 0 0 X X 0 0 X X 0 0 X X 2 2 0 0 X X X X+2 X X+2 0 0 2 2 X 2 X+2 2 X+2 0 X+2 0 X X+2 X X X+2 X X+2 0 0 2 2 0 2 0 X+2 X X+2 2 0 2 X+2 2 0 2 X 2 0 0 X 0 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+122x^81+172x^82+250x^83+118x^84+228x^85+157x^86+206x^87+75x^88+164x^89+115x^90+142x^91+39x^92+90x^93+46x^94+36x^95+18x^96+30x^97+16x^98+4x^99+3x^100+6x^101+4x^102+2x^103+2x^104+1x^110+1x^114 The gray image is a code over GF(2) with n=348, k=11 and d=162. This code was found by Heurico 1.16 in 21.5 seconds.