The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 0 1 1 0 1 1 X 1 1 1 X 1 1 X 1 1 1 0 1 1 2 0 1 X 1 X 1 2 1 1 X 1 1 X 1 X 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X 0 1 0 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 X+1 1 1 0 3 1 2 X+3 1 X X+3 X 1 1 1 1 0 1 0 1 2 X+1 1 1 1 1 0 1 X+1 1 X X+2 1 0 X+1 1 X+3 1 1 3 1 0 1 X+3 2 3 X+2 X+1 X+2 X+1 0 X+1 X X+1 0 1 1 2 1 0 1 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 2 2 2 0 X+2 X X+2 X X 0 0 2 2 X+2 X 0 X 2 0 X+2 0 X+2 X+2 X+2 X 0 2 X+2 0 X X+2 X 2 2 X+2 2 X+2 2 X X X+2 2 X 2 2 X+2 0 2 X+2 X X 2 0 2 X X X+2 X+2 X 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+41x^66+122x^67+186x^68+250x^69+301x^70+314x^71+354x^72+396x^73+348x^74+316x^75+326x^76+294x^77+275x^78+234x^79+128x^80+74x^81+47x^82+22x^83+20x^84+8x^85+7x^86+10x^87+4x^88+2x^89+2x^90+4x^91+4x^92+1x^94+2x^95+1x^96+2x^98 The gray image is a code over GF(2) with n=296, k=12 and d=132. This code was found by Heurico 1.16 in 1.28 seconds.