The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 2 X+2 1 1 1 1 1 1 0 X 1 1 2 1 1 1 X+2 X+2 X 1 1 0 1 0 2 0 1 X+2 1 2 1 1 0 X X+2 1 1 2 X 0 X X 2 1 X+2 1 1 1 1 2 2 1 1 1 X 1 1 2 1 1 1 2 1 1 X 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X 3 X+3 X 1 1 X X+2 X+2 0 2 3 1 1 0 X+3 2 X+1 X+2 X+3 1 1 2 0 1 1 3 2 X+2 1 X+1 1 0 1 2 0 1 1 X+2 X+3 3 1 1 1 1 1 0 X 2 X+1 1 X+2 1 1 0 3 X+1 X+3 X X+1 2 1 0 X+2 X 1 2 X+3 1 X 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 1 X+2 1 X+3 0 2 X+3 X 2 X+1 X+2 X+2 1 X 3 1 2 X+3 X+1 X+3 X+2 1 X 0 X+1 3 1 1 X+2 X 3 0 0 3 X+3 X+3 3 1 2 0 2 X+2 3 X X+3 1 2 1 2 2 2 0 3 1 X+1 1 X 1 X 3 X+1 3 3 0 X X+1 3 X X+1 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X X+2 2 2 0 X+2 X+2 X+2 X+2 X+2 X+2 2 2 X X+2 X+2 0 0 0 X+2 X X+2 0 2 X+2 2 X+2 X+2 X 2 2 X 0 0 2 X+2 X+2 0 0 X+2 X+2 X+2 2 X+2 0 X 2 0 0 X+2 X 2 X+2 X+2 0 0 2 X 0 X+2 0 X+2 0 0 2 X X X 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+301x^74+304x^75+721x^76+516x^77+1146x^78+756x^79+1370x^80+1060x^81+1640x^82+996x^83+1629x^84+920x^85+1464x^86+780x^87+1044x^88+504x^89+509x^90+220x^91+227x^92+68x^93+86x^94+16x^95+47x^96+4x^97+30x^98+13x^100+8x^102+2x^104+2x^108 The gray image is a code over GF(2) with n=332, k=14 and d=148. This code was found by Heurico 1.16 in 46.8 seconds.