The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 0 1 0 X 1 1 1 1 X 1 X 1 1 2 2 1 1 1 X+2 1 0 1 1 1 0 0 2 1 X X+2 1 2 1 2 0 1 1 1 X 1 1 X+2 X 1 X 1 1 1 2 1 1 1 1 1 0 1 X+2 1 2 X+2 0 X+2 1 X+2 1 1 0 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 1 2 X+2 0 X+3 X+1 1 0 1 X+3 X+2 1 X+2 X+3 X+2 X+1 1 X+3 1 X+2 X+2 3 2 1 1 3 X+2 1 X+1 1 2 1 X+2 X+3 1 X 0 X+3 X+2 1 1 X+2 1 X+2 X X+1 1 0 X+3 X X+1 X X 3 2 3 1 X 2 1 X 1 3 X 1 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 X+3 0 X+2 1 2 X+3 3 X 1 X+2 X+2 X 2 2 1 X+1 1 X+3 3 X+2 X+2 X+2 1 X+2 1 1 2 1 1 3 0 X X+2 1 1 3 X 1 1 1 3 1 3 X+2 X 3 X+3 X+2 X+2 X+2 3 2 X+1 X 1 0 1 0 X+2 1 1 X+1 X+2 3 1 2 X+3 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 0 X+2 2 0 0 X+2 X X 2 0 2 X 2 2 2 X X+2 0 X+2 0 X 2 0 0 X+2 X+2 X 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 0 0 X X+2 2 2 X X+2 X X+2 0 2 2 X+2 X+2 X+2 2 0 X X 0 X X+2 X X X X X+2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+73x^76+162x^77+412x^78+540x^79+882x^80+774x^81+1157x^82+1050x^83+1426x^84+1072x^85+1577x^86+1216x^87+1372x^88+1002x^89+975x^90+680x^91+697x^92+360x^93+414x^94+188x^95+119x^96+76x^97+55x^98+38x^99+27x^100+6x^101+13x^102+10x^104+4x^105+5x^106+1x^116 The gray image is a code over GF(2) with n=344, k=14 and d=152. This code was found by Heurico 1.16 in 18.1 seconds.