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 2 X X 2 X X 1 0 1 1 2 0 1 X 2 1 X 0 1 1 X X 2 1 2 X X 0 1 2 1 1 1 1 1 1 2 1 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X+2 0 X X 2 X 2 X+2 0 X X X X X X X 2 0 2 0 X X 2 X+2 X X 0 0 2 X+2 X X 2 0 0 0 X+2 X 0 X 0 X X+2 2 X+2 X+2 0 0 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X+2 0 X X+2 X X 0 2 2 X X+2 2 2 X X+2 0 0 2 X 2 X X X 2 0 X X 2 0 2 2 X 2 X X+2 0 0 X+2 X X+2 X 2 0 X+2 2 0 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 X+2 0 0 0 X+2 X+2 2 2 2 2 0 2 X+2 X 2 2 2 X 0 2 X+2 X+2 X+2 X 0 0 X+2 X+2 X X+2 X X 2 0 2 2 X+2 0 2 0 X X 0 X+2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 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+56x^64+82x^65+149x^66+190x^67+300x^68+344x^69+430x^70+436x^71+548x^72+688x^73+612x^74+746x^75+613x^76+544x^77+545x^78+480x^79+377x^80+298x^81+211x^82+162x^83+98x^84+72x^85+72x^86+28x^87+38x^88+20x^89+27x^90+6x^91+13x^92+1x^94+4x^96+1x^106 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 7.04 seconds.