The generator matrix 1 0 1 1 1 X+2 1 1 0 X+2 1 1 1 2 1 X+2 1 1 1 1 1 X 2 1 1 X+2 1 1 1 X+2 0 0 1 1 0 1 1 1 1 X+2 0 1 1 1 X+2 1 1 1 1 1 1 1 1 X 1 1 X+2 1 X+2 1 1 2 1 1 X+2 0 0 1 1 1 0 1 1 X 0 1 0 1 1 0 X+3 1 X X+1 1 1 X+2 3 2 1 1 1 1 X X+1 0 X 1 1 X+1 X 1 X+3 0 X+1 1 1 1 X+2 X+2 1 1 0 X+3 X+3 1 1 0 1 1 1 X+3 X+2 X+3 X 1 2 X+1 2 1 1 X 1 0 1 X+1 1 2 0 X+2 1 1 1 3 X+3 X+2 X X X X+2 2 2 0 0 X 0 X+2 0 0 X X+2 X 2 X X X 0 2 2 X 0 X X X 2 0 2 X+2 0 X+2 X+2 X 2 2 X 0 0 X+2 2 X+2 2 2 X+2 2 X+2 X 0 2 2 0 X 0 2 X X+2 X+2 0 2 0 X 0 2 2 X 0 X X+2 X 0 X+2 0 X X X X+2 X+2 0 X+2 0 0 0 X 0 0 X X X X 0 X 0 2 X+2 X+2 0 2 X+2 X X 2 X 2 X X+2 X X+2 X 0 0 X X+2 0 X 2 X+2 2 2 2 2 X+2 X 0 X+2 0 0 X X+2 X+2 0 0 2 X 0 X X X+2 2 2 2 2 2 0 0 X X+2 0 X 0 0 2 X 0 X 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 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+196x^66+64x^67+487x^68+264x^69+861x^70+588x^71+1286x^72+964x^73+1533x^74+1200x^75+1714x^76+1184x^77+1564x^78+968x^79+1151x^80+600x^81+699x^82+240x^83+376x^84+56x^85+197x^86+12x^87+80x^88+4x^89+59x^90+22x^92+10x^94+2x^96+1x^98+1x^100 The gray image is a code over GF(2) with n=304, k=14 and d=132. This code was found by Heurico 1.16 in 21.7 seconds.