The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 2 1 2 1 1 1 1 X 1 X+2 1 1 1 2 1 1 1 1 X+2 1 0 1 1 1 X 1 1 1 1 0 1 X+2 1 1 2 1 1 1 1 1 0 X 1 X+2 X 1 1 1 X 1 0 1 1 1 X+2 1 1 1 1 2 0 2 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 1 1 1 2 X+3 X+3 X+2 1 X+3 1 X 3 2 1 0 3 X+2 3 1 X+1 1 3 X+2 X+2 1 0 X+1 3 2 1 0 1 X+3 3 1 1 1 X+2 X+1 X+2 1 1 1 1 1 X+1 3 X+3 1 X 0 X+2 X+2 X 1 3 X+1 0 2 1 1 1 0 0 0 X 0 X+2 0 X+2 0 X+2 X+2 2 X 2 X X 0 X+2 X 0 0 X 2 0 X+2 2 2 X+2 X 0 0 X 2 X+2 0 X 2 X X 0 2 X+2 X+2 X+2 2 X+2 X X X 0 2 X 2 2 0 2 2 X+2 2 2 X+2 2 0 X+2 X X X 0 2 0 X+2 X+2 X X+2 0 X 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+24x^66+66x^67+162x^68+248x^69+311x^70+466x^71+502x^72+584x^73+714x^74+674x^75+765x^76+744x^77+694x^78+624x^79+460x^80+388x^81+231x^82+178x^83+131x^84+76x^85+46x^86+30x^87+20x^88+4x^89+22x^90+10x^91+5x^92+4x^93+4x^94+1x^96+1x^98+1x^100+1x^102 The gray image is a code over GF(2) with n=304, k=13 and d=132. This code was found by Heurico 1.16 in 5.07 seconds.