The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 1 0 1 1 X^2+X X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 0 1 X^2+X 1 1 X^2+2 1 1 1 1 X+2 1 1 0 1 1 0 X^2+X X^2+X+2 1 1 2 1 1 1 1 X^2+X+2 1 1 1 X^2+2 1 1 1 2 1 1 X^2 1 X^2+X 1 0 1 2 1 X+2 1 1 1 X^2+X 1 0 1 X+1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 X+2 1 3 X+1 0 1 X^2+X X^2+1 1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 3 1 X+2 X^2+X 1 X+1 1 0 X^2+1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 1 1 0 X+1 1 X^2+X+2 X^2+3 X^2+X X^2+1 1 X+3 2 X^2+2 1 X^2+X+3 X^2+X+3 2 1 X^2+X+1 X^2 1 X^2+X+2 1 0 1 2 1 X+2 1 X^2+3 X^2+X 3 1 X^2+1 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 0 generates a code of length 88 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+112x^83+614x^84+432x^85+64x^86+480x^87+695x^88+480x^89+64x^90+432x^91+600x^92+112x^93+7x^96+2x^116+1x^120 The gray image is a code over GF(2) with n=704, k=12 and d=332. This code was found by Heurico 1.16 in 0.782 seconds.