The generator matrix 1 0 0 1 1 1 X+2 1 1 0 1 X 1 1 2 X+2 1 1 X 2 0 1 X 1 1 1 1 2 1 1 2 1 X X+2 1 1 0 1 1 X+2 2 X+2 1 0 X+2 1 2 1 X 1 2 1 0 1 1 X+2 1 1 1 2 1 1 0 1 1 1 1 2 X X 1 0 1 1 0 1 1 1 1 0 1 0 0 1 X+3 1 X X+1 1 X+1 X+2 1 X+2 1 1 3 2 1 X+2 1 2 0 X X+3 1 0 1 2 X+1 X X+2 1 1 2 2 1 X+3 X+3 1 1 2 X 1 0 X+2 X+2 0 1 2 1 X+1 0 X+1 3 X+2 0 X+3 X+2 1 0 0 1 X+1 0 3 3 X+2 1 1 X X 0 X+3 1 0 3 1 3 0 0 1 X+1 1 X+2 X+3 X X+3 X+3 2 1 X+3 X+3 X 0 0 3 3 1 X+2 X 1 3 3 X 0 1 1 0 1 0 X 2 X+2 X+3 1 X+1 X 3 2 1 X 3 1 1 1 3 1 X X 1 1 X+1 0 1 X+1 0 2 0 1 X+1 1 1 2 X+3 1 1 X+3 X+2 3 1 3 X+3 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+102x^71+277x^72+426x^73+564x^74+584x^75+587x^76+658x^77+828x^78+706x^79+545x^80+624x^81+527x^82+482x^83+359x^84+280x^85+215x^86+146x^87+122x^88+54x^89+33x^90+20x^91+24x^92+6x^93+9x^94+6x^95+3x^96+2x^99+2x^100 The gray image is a code over GF(2) with n=316, k=13 and d=142. This code was found by Heurico 1.16 in 4.96 seconds.