The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 1 X 1 2 1 1 1 1 1 X+2 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 X+2 1 1 1 1 1 0 1 1 1 1 1 X+2 X+2 1 1 1 1 1 2 1 1 X 1 1 X 2 1 1 X+2 0 1 X+1 X+2 1 1 0 X+1 1 X+2 1 3 X+1 0 1 X+2 1 3 3 0 1 X+2 1 X+1 X+1 3 2 1 1 1 X+2 X+1 X X+3 3 1 0 1 X+1 1 X+3 1 X+2 1 X+3 1 2 1 X+3 X+2 3 3 3 1 X+1 2 X+1 X+1 X+3 1 3 3 X+1 3 3 1 1 X+2 X X+3 X+3 0 1 X+1 1 2 X X 1 1 X+1 3 1 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+72x^76+110x^77+161x^78+84x^79+191x^80+150x^81+224x^82+84x^83+236x^84+154x^85+186x^86+76x^87+125x^88+98x^89+58x^90+12x^91+12x^92+3x^94+2x^96+4x^98+2x^102+1x^106+1x^120+1x^122 The gray image is a code over GF(2) with n=332, k=11 and d=152. This code was found by Heurico 1.16 in 0.6 seconds.