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 1 1 1 1 1 1 1 0 2 X 2 0 2 X X X 0 X 1 2 1 1 X 2 2 2 X 1 X 1 1 1 X 0 0 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 2 0 X+2 X+2 2 X X+2 X 0 2 X X+2 0 X 0 2 X X 0 2 0 X X+2 X+2 X+2 X 2 0 0 X 2 2 X 2 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 2 X 0 2 X X+2 X+2 X X 0 2 2 2 X+2 X X X+2 0 X X+2 0 0 X+2 X+2 2 2 X X X 0 X X 0 X 2 X 0 0 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 X X 2 X+2 0 2 X 0 0 0 0 2 X 0 X 0 0 2 2 X+2 X+2 2 X+2 X+2 X+2 X+2 X X+2 0 X+2 0 X+2 X 2 0 X+2 X+2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 0 0 2 X 2 0 X+2 2 2 X X X X X X 2 X+2 0 0 X 2 0 0 0 X+2 X 0 0 X X X+2 X+2 0 X+2 X+2 2 0 0 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 2 0 0 X+2 X+2 X+2 X+2 X X 2 2 X+2 X+2 X+2 0 X 2 2 2 2 X 2 2 X+2 X 2 0 X+2 0 X 2 0 X X X+2 2 X+2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+56x^63+140x^64+214x^65+288x^66+376x^67+472x^68+582x^69+725x^70+798x^71+1122x^72+1362x^73+1418x^74+1482x^75+1362x^76+1272x^77+1101x^78+922x^79+708x^80+510x^81+397x^82+310x^83+221x^84+182x^85+128x^86+80x^87+65x^88+34x^89+37x^90+8x^91+4x^92+4x^93+2x^94+1x^108 The gray image is a code over GF(2) with n=300, k=14 and d=126. This code was found by Heurico 1.16 in 25 seconds.