The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X 1 1 1 2 1 X 1 0 1 1 2 1 1 1 2 1 1 1 X 1 X 1 1 1 1 1 2 1 X+2 1 2 1 1 1 1 1 1 1 X X+2 1 1 0 1 2 2 1 1 0 X 1 2 1 X 1 0 2 2 1 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X X+3 1 3 3 2 1 0 1 X+2 1 X+1 X 1 1 2 X+3 1 X X+3 0 1 3 1 1 1 1 X 1 1 0 1 X+3 1 X+2 X+3 X+2 3 X+1 X 1 X 1 X X+2 1 2 1 1 X+3 3 1 1 X+3 1 X+3 X 0 1 1 1 3 X+1 X+3 0 0 X 0 X+2 0 X+2 2 X X X 2 X+2 X X+2 2 X X+2 X 0 0 2 2 0 0 0 X+2 X+2 X+2 X+2 X 2 X X 0 X X+2 X+2 X+2 X+2 2 X+2 0 0 X+2 2 X+2 2 2 2 0 X 2 X 0 2 0 X+2 X+2 2 2 0 X X+2 X X 2 0 X+2 2 0 0 0 X X X 0 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 0 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+47x^68+88x^69+194x^70+286x^71+336x^72+334x^73+342x^74+340x^75+316x^76+368x^77+290x^78+304x^79+262x^80+202x^81+161x^82+80x^83+51x^84+18x^85+20x^86+10x^87+8x^88+8x^89+7x^90+4x^91+2x^92+6x^93+8x^94+1x^96+1x^98+1x^106 The gray image is a code over GF(2) with n=304, k=12 and d=136. This code was found by Heurico 1.16 in 1.3 seconds.