The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 2 1 1 0 2 1 1 X 1 1 X+2 1 1 1 1 X+2 2 X+2 X+2 0 1 1 1 X 1 0 1 1 1 X 1 2 1 1 2 0 0 2 1 2 X X+2 2 0 2 1 1 1 X 2 1 2 1 1 X X+2 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 1 X+3 2 1 1 0 X+1 1 X+3 0 X X+1 0 X+3 X+2 X 1 2 1 X X+2 2 1 0 X+1 X X+1 X+2 X+2 X 3 2 X X+3 1 1 1 1 0 2 1 2 X+2 X+2 0 1 2 X+1 1 1 1 0 X+1 X+2 1 0 X+1 2 X X+1 3 X+2 X+3 0 X X X+2 X 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 0 0 X 1 X X X+3 X+3 1 X+3 X+2 2 X+1 0 1 1 X+3 1 3 1 3 X X+1 1 X+1 1 X+2 X 3 X+2 1 1 X+1 1 X X 2 0 X+1 1 X+1 2 2 1 0 X+2 X+3 X+1 1 1 X+1 X 1 0 X+3 1 X+2 X+2 X+2 2 3 0 0 0 1 3 2 0 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 X+2 X+2 X+2 0 1 X+3 X+1 3 2 1 1 X+3 X 2 X+1 X+2 3 3 2 X+3 X 0 X+2 X+2 3 1 X 3 2 1 X 1 3 X+3 3 X+3 2 X+3 1 2 X 1 1 1 1 3 X 2 2 X+3 X+1 1 2 X+1 X+2 0 2 2 3 1 X+2 0 X+3 2 X 2 0 X+3 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+154x^75+341x^76+660x^77+818x^78+1020x^79+989x^80+1350x^81+1150x^82+1382x^83+1256x^84+1256x^85+1121x^86+1082x^87+876x^88+848x^89+665x^90+562x^91+267x^92+266x^93+145x^94+86x^95+38x^96+30x^97+5x^98+2x^99+8x^100+6x^101 The gray image is a code over GF(2) with n=336, k=14 and d=150. This code was found by Heurico 1.16 in 16.1 seconds.