The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 X+2 1 1 0 X 1 1 0 X 1 1 X 2 X+2 X 1 1 X 1 1 0 2 1 1 2 1 1 0 X+2 1 0 X 1 1 1 X+2 1 2 1 2 0 1 0 X+2 0 1 X+2 X+2 0 1 1 1 1 X+2 1 1 1 1 1 2 0 X+2 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 1 X+1 2 2 2 2 X+3 X 1 3 X 1 1 1 X+2 0 3 X 1 X+3 1 1 X+2 X+3 1 X X 2 1 X 1 0 0 3 X+1 1 1 X+2 X 1 X X+2 1 0 1 3 1 1 1 X+3 X+2 3 3 2 1 X 0 X X 1 X X X+1 0 0 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+3 X X+1 1 X+2 0 X+3 1 2 X+2 X+3 X+1 X+3 X+3 1 0 2 1 X+2 1 0 3 3 X+1 X+2 X+2 X+2 X+2 X+1 X X+1 1 X+3 0 X+3 2 X 1 1 X+1 2 3 3 1 X 3 2 3 3 0 X+1 X+3 1 X+2 X+1 X+2 3 1 X X+3 1 2 X+3 1 0 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 X+2 X+1 1 2 1 X+1 1 X+3 X+3 X+3 2 1 X+3 X 1 X 0 X+1 X+3 2 X 0 2 X 3 X X+3 1 X+3 2 X 2 2 2 X+1 1 1 X X+2 3 1 0 X+2 3 0 0 3 X+2 3 3 X 1 X+3 1 X+2 3 3 X+2 X+1 2 X+1 X+2 X+3 X+1 0 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 3 X X+3 X+3 3 X+2 2 0 X+2 1 0 2 3 X+2 X+2 X+3 X+2 X+1 X X+3 X+1 0 X+2 X X+1 3 X+2 2 3 2 1 0 3 X+1 2 2 0 X+3 X X+2 3 X+2 2 0 X 3 X+2 X X+1 2 X+1 3 X+2 X+3 2 1 1 2 X+1 X+2 X 1 X+1 1 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+109x^68+456x^69+1060x^70+1360x^71+2092x^72+2666x^73+3124x^74+3906x^75+4383x^76+5146x^77+5326x^78+5752x^79+5866x^80+5124x^81+4745x^82+4130x^83+3100x^84+2550x^85+1869x^86+1074x^87+739x^88+388x^89+235x^90+144x^91+90x^92+48x^93+21x^94+14x^95+2x^96+6x^97+4x^98+4x^99+2x^100 The gray image is a code over GF(2) with n=316, k=16 and d=136. This code was found by Heurico 1.13 in 76.2 seconds.