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 X 2 X 1 X 1 X 0 0 0 X X 1 0 X 1 1 X 1 X X 1 1 1 1 1 2 X 1 X 1 1 1 1 0 X 0 0 1 1 X 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X 0 2 0 2 0 X X X X 2 2 0 0 0 X X+2 X+2 0 X X+2 X+2 X X 2 X 2 X+2 2 2 0 2 X X X X 0 X+2 2 X+2 2 X+2 X X X+2 0 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 X+2 0 0 X+2 2 2 X X+2 X+2 X X X X+2 X X 0 0 0 2 2 2 0 2 2 X X X+2 X X+2 X X X+2 X X+2 X 2 X X+2 2 X+2 X X+2 0 2 X X+2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 2 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+130x^64+4x^65+210x^66+20x^67+519x^68+108x^69+536x^70+264x^71+802x^72+384x^73+906x^74+464x^75+992x^76+432x^77+728x^78+248x^79+547x^80+92x^81+334x^82+28x^83+244x^84+4x^85+80x^86+65x^88+22x^90+20x^92+6x^96+1x^100+1x^104 The gray image is a code over GF(2) with n=300, k=13 and d=128. This code was found by Heurico 1.16 in 7.42 seconds.