The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 X 0 2 X 0 1 2 X 0 1 1 1 X 1 X 1 X X 1 1 1 X X X 1 X 1 0 1 1 1 2 1 1 X 0 0 X 1 2 2 X 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 X X+2 2 2 2 X+2 X+2 2 0 0 2 X+2 2 X 2 0 X X X 2 0 X X X 2 2 X+2 X X+2 2 2 X 2 2 0 X 0 X+2 X 0 2 0 2 0 X 2 X 2 X+2 2 0 X 0 2 X X+2 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X X X+2 2 X 0 0 0 X+2 X X 0 X+2 X 0 2 2 X X+2 X X+2 0 2 2 2 2 2 X+2 X 2 0 0 X X X+2 0 2 X+2 X X X X+2 X 2 X+2 X+2 X X+2 0 2 X 0 2 X+2 X 2 0 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 X 0 X 2 X X X 0 0 2 2 2 2 X X 2 X 0 2 X X X 0 X 0 2 2 X 2 0 X 0 X+2 2 X+2 X X X 0 X 0 X 2 0 X 0 X X+2 X+2 0 2 0 X 0 X X+2 0 0 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X+2 X 0 2 2 X+2 2 X+2 2 X+2 X+2 X+2 X+2 2 0 X 0 2 0 2 X X+2 0 X X 0 0 X+2 X+2 X X X X 0 X+2 2 X 0 0 X X+2 X+2 X 2 X 2 2 X+2 X+2 0 X X X X+2 X 2 X+2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+30x^72+100x^73+185x^74+246x^75+318x^76+332x^77+433x^78+450x^79+549x^80+648x^81+586x^82+692x^83+618x^84+562x^85+499x^86+412x^87+355x^88+290x^89+231x^90+196x^91+127x^92+86x^93+94x^94+40x^95+43x^96+26x^97+16x^98+10x^99+5x^100+4x^101+2x^102+2x^103+2x^104+1x^106+1x^114 The gray image is a code over GF(2) with n=332, k=13 and d=144. This code was found by Heurico 1.16 in 7.69 seconds.