The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 2 1 1 1 X 1 X 1 1 1 1 2 1 0 1 1 X+2 1 1 2 1 1 1 0 1 1 2 1 1 1 X 1 X+2 1 1 1 2 1 1 1 1 0 1 1 1 2 1 1 1 0 1 1 1 X 2 1 X 1 X 1 0 1 1 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 1 0 X+1 X+2 1 3 1 2 X+1 3 X 1 2 1 X+3 X+2 1 X+2 X+1 1 X+1 2 1 1 X+3 X+1 1 0 3 2 1 X 1 X+1 3 2 1 3 0 X+3 2 1 X+2 0 X+2 1 3 1 X+1 1 X+3 1 0 0 1 X+2 X+2 X+1 1 3 1 2 0 0 0 X 0 0 0 0 0 0 2 2 X+2 X X 2 X X+2 X X+2 X X 0 X+2 X+2 2 0 X X 0 2 2 X+2 2 0 2 2 X 0 0 2 X+2 X 0 0 2 2 X+2 X+2 X X X+2 0 X X 0 0 X 2 0 X 2 2 0 2 X+2 X+2 2 X+2 X 2 X+2 2 0 0 0 0 0 0 X 0 0 X 2 X 2 X+2 2 X+2 2 X 0 X X+2 0 X X X+2 X+2 0 X 0 X+2 X X 2 0 2 X+2 X X X X 0 0 2 X 2 2 X 0 X+2 0 0 0 2 0 X+2 X+2 X X+2 2 X X+2 0 X 0 X X+2 X+2 2 X 0 X X+2 0 0 X X+2 X 0 0 0 0 0 X 0 0 X+2 2 0 2 2 X+2 X X+2 X X 2 X X 0 X X X+2 0 2 X+2 0 X X 0 0 2 X 2 X X X+2 X+2 X+2 X X X+2 0 X X X 2 2 X+2 2 X+2 X+2 2 X X+2 X+2 X 0 0 2 0 2 0 2 0 0 X+2 X X 0 2 X 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+49x^64+94x^65+186x^66+370x^67+396x^68+786x^69+609x^70+1194x^71+821x^72+1710x^73+1002x^74+2028x^75+1087x^76+1696x^77+854x^78+1188x^79+539x^80+690x^81+330x^82+282x^83+138x^84+122x^85+70x^86+50x^87+35x^88+18x^89+18x^90+8x^91+3x^92+4x^93+2x^94+3x^96+1x^102 The gray image is a code over GF(2) with n=300, k=14 and d=128. This code was found by Heurico 1.16 in 17.6 seconds.