The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 2 1 1 1 2 1 1 1 1 1 X 1 X X 1 1 1 1 2 1 1 0 1 2 1 0 1 1 1 X X 2 1 1 1 0 1 1 1 1 X 1 1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 X 1 X 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+2 1 X+3 X+3 0 1 1 1 2 X+1 0 1 X+1 1 1 0 X+2 1 3 1 X+1 X 1 3 1 1 1 X+1 X X+1 1 1 1 3 2 2 1 X X+2 1 2 1 X+1 X+2 X+1 1 2 3 X+2 1 1 2 0 X+3 0 0 0 X+1 1 X+3 X 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 X X+2 0 2 2 X 2 X X X 0 0 X X+2 0 0 X+2 2 X X X 0 2 X+2 X 2 2 X+2 2 X+2 2 0 0 X X X 0 2 2 2 2 0 2 X X 0 X+2 X+2 X X+2 X+2 X+2 X+2 2 2 2 2 X 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+251x^68+44x^69+334x^70+200x^71+535x^72+212x^73+446x^74+112x^75+555x^76+212x^77+362x^78+200x^79+349x^80+44x^81+128x^82+69x^84+6x^86+14x^88+2x^90+13x^92+2x^94+4x^96+1x^104 The gray image is a code over GF(2) with n=300, k=12 and d=136. This code was found by Heurico 1.16 in 2.14 seconds.