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 X 1 2 1 X X 1 1 2 1 2 1 2 1 1 2 0 1 1 X 1 1 1 2 0 2 1 2 1 1 1 X 1 2 2 0 X 2 1 2 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 X X 0 X+2 X 2 X+2 2 X+2 X 2 X 2 X X+2 0 X+2 X X X 0 2 2 X+2 X 0 2 X X X+2 X X+2 2 2 X 2 X 2 X 2 0 2 X 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X+2 0 2 X 0 X 2 0 2 X 2 X+2 0 X+2 X+2 0 0 0 X+2 2 X+2 0 2 X+2 X 0 X 2 0 2 0 X+2 2 X+2 X 0 X X X+2 2 X X X+2 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X X+2 X X+2 2 2 2 X X 0 X+2 0 X+2 X X+2 X X+2 2 X+2 X 2 2 X 2 X 0 0 X+2 X+2 0 X+2 X 2 X+2 2 0 X 2 X X+2 X X 2 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X+2 X X+2 X+2 2 2 X+2 2 0 0 0 2 0 0 2 X+2 X+2 2 0 X X X X+2 0 X 2 X X+2 X X 0 X+2 X+2 2 X 0 X+2 0 X 2 X+2 2 2 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 0 X X X+2 0 X+2 X+2 0 2 X+2 0 0 X+2 X 2 2 X+2 X+2 2 2 X X+2 X+2 X+2 2 2 2 X+2 0 X+2 0 0 X X+2 X+2 X 0 0 2 X X X 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+198x^72+8x^73+428x^74+112x^75+569x^76+160x^77+680x^78+308x^79+832x^80+424x^81+932x^82+444x^83+855x^84+312x^85+596x^86+204x^87+373x^88+48x^89+276x^90+20x^91+194x^92+8x^93+110x^94+76x^96+16x^98+5x^100+2x^102+1x^116 The gray image is a code over GF(2) with n=328, k=13 and d=144. This code was found by Heurico 1.16 in 11.2 seconds.