The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 2 1 1 1 1 0 X 1 1 2 1 0 1 1 1 0 1 1 1 X 1 X+2 1 1 X+2 X 1 1 1 1 1 1 X 0 1 1 2 X 1 1 0 1 1 X 0 1 1 0 1 2 1 X+2 1 1 2 2 0 1 0 1 0 1 0 1 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 1 X+1 2 X 1 1 1 X 3 1 X+2 1 X+1 1 0 1 0 1 X+2 1 0 1 3 1 1 1 X+1 2 X+1 X+2 X X+1 1 1 X+1 X+2 1 1 1 X+3 1 X X+1 1 1 X 3 1 1 1 3 1 3 3 2 1 X 0 1 2 1 1 X 0 0 0 X 0 0 0 0 0 0 0 2 X+2 X+2 2 X X+2 X+2 X+2 X X X+2 2 0 2 X+2 2 X+2 X+2 X+2 X+2 0 X 2 2 X 2 X 0 X+2 0 X+2 X 0 X+2 X+2 2 2 2 0 X+2 2 X 0 0 0 2 X X+2 2 0 X 0 X 2 0 X+2 0 X+2 X+2 2 X X X 2 0 X 0 0 0 X 0 0 X 2 0 0 0 0 0 X X 2 X+2 X 2 X+2 X+2 X+2 X X+2 2 X+2 2 0 X+2 X X+2 X+2 0 X 2 X 0 X+2 X X 2 0 2 0 0 0 2 0 X X+2 2 0 0 2 X+2 X+2 0 0 X 2 0 2 X+2 X+2 2 X 0 X 2 0 X+2 X X 2 2 X+2 0 0 0 0 X 0 0 X+2 X+2 2 X+2 2 2 X+2 X+2 X 2 2 0 X 2 X X+2 2 X 0 2 X+2 0 X X X+2 X X+2 X+2 X 2 2 0 2 X 2 X 0 X 0 X+2 X X 0 X+2 X X 0 X 2 X X+2 2 X 0 X+2 0 2 2 X X X X+2 X X X X+2 2 X 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 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+170x^66+44x^67+533x^68+308x^69+902x^70+568x^71+1178x^72+848x^73+1573x^74+1308x^75+1753x^76+1208x^77+1493x^78+980x^79+1123x^80+624x^81+775x^82+168x^83+408x^84+84x^85+155x^86+4x^87+98x^88+46x^90+22x^92+6x^94+3x^96+1x^104 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 18.4 seconds.