The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 0 1 X+2 1 1 1 X+2 1 1 0 1 2 1 1 1 1 X 1 0 X+2 1 1 1 1 2 1 1 1 1 1 0 2 X+2 1 X+2 1 1 1 X+2 0 1 1 1 0 1 0 1 0 2 1 1 2 X+2 0 1 X 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 X+2 X+2 1 3 1 X+3 1 X+3 1 1 2 1 X 1 3 X+1 X+2 0 1 0 1 1 X+3 X+1 0 X+1 1 X+2 X+3 X+3 1 0 1 1 1 X+2 1 X+2 X 1 1 1 X X+1 X+3 0 X+1 X X+2 X 1 X+2 X+2 X 1 0 2 1 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X X 2 X 2 2 X X 0 0 0 X 2 X X 2 X+2 0 0 X+2 X 0 X X+2 2 2 2 X+2 0 X+2 0 X+2 2 0 X 0 2 0 X X+2 2 X 2 0 X 0 X 2 X 2 X+2 2 2 X+2 X+2 2 X X+2 X 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+134x^66+96x^67+270x^68+312x^69+589x^70+488x^71+464x^72+752x^73+704x^74+856x^75+588x^76+656x^77+521x^78+536x^79+344x^80+304x^81+257x^82+72x^83+93x^84+24x^85+69x^86+22x^88+24x^90+8x^92+5x^94+1x^96+1x^98+1x^100 The gray image is a code over GF(2) with n=300, k=13 and d=132. This code was found by Heurico 1.16 in 7.24 seconds.