The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 2 1 1 1 1 0 X 1 1 1 0 1 0 1 1 2 1 1 1 X+2 1 1 1 1 0 X 1 X 1 1 1 0 2 1 1 1 1 1 X 1 1 X+2 1 1 1 1 1 X 1 X 2 1 1 1 1 2 1 2 1 X+2 0 1 1 1 1 1 1 X 1 2 1 2 1 0 1 1 0 1 1 X X+3 1 X+2 X+3 1 1 2 X+1 X 1 1 1 X X+1 3 1 0 1 3 2 1 2 X+1 1 1 X+2 1 1 0 1 1 X+2 1 X X+2 X+3 1 1 0 3 X+3 3 2 1 X 0 1 3 3 3 2 1 1 1 1 1 2 X 2 X+3 2 X+1 1 2 1 X 1 X+1 0 X 0 X+3 1 0 1 X+1 1 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X+2 X 2 X+2 X+2 X+2 X X X 0 X+2 0 X 2 2 0 X+2 2 X+2 X+2 0 X+2 2 X 2 X X+2 X 0 X+2 X+2 X+2 X X 0 X+2 0 X 2 X+2 2 X X 0 2 2 0 X+2 0 0 2 X+2 X+2 2 X+2 X X X X+2 X+2 X+2 X X X X 2 X+2 X+2 0 X+2 X+2 0 X 0 0 0 X 0 0 X 2 0 0 0 0 0 X X 2 X+2 X 2 X+2 2 X X X+2 0 2 0 X+2 X+2 X 0 0 2 X X 2 X X X+2 X 2 X+2 X 0 0 0 2 0 X+2 2 X 2 2 2 X+2 X 0 2 0 X X+2 2 X+2 X+2 2 X 0 X+2 X+2 2 X+2 X+2 X X+2 X+2 X X+2 X+2 0 X X+2 X 2 X X 0 0 0 0 X 0 0 X+2 X+2 2 2 X+2 2 X+2 X+2 X 2 2 0 X X 2 X+2 X X+2 0 X 2 2 X X X X X+2 2 X+2 X+2 X X+2 2 2 2 X X+2 X X 2 X X 2 2 2 X+2 2 X+2 2 2 2 X+2 2 X+2 X X+2 X X+2 X 0 2 X+2 X 2 X 0 0 2 2 2 X X X X X X+2 0 X+2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+68x^74+108x^75+190x^76+406x^77+509x^78+632x^79+888x^80+1040x^81+1142x^82+1240x^83+1350x^84+1432x^85+1386x^86+1238x^87+1168x^88+1036x^89+700x^90+592x^91+427x^92+218x^93+184x^94+128x^95+99x^96+84x^97+33x^98+28x^99+32x^100+8x^101+8x^102+2x^103+4x^104+1x^108+1x^110+1x^114 The gray image is a code over GF(2) with n=340, k=14 and d=148. This code was found by Heurico 1.16 in 20.9 seconds.