The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 0 0 1 1 1 X 1 1 0 1 0 1 X 1 1 1 1 1 X 1 1 2 X+2 1 1 2 1 1 1 X X 2 1 1 1 X+2 1 0 1 1 2 1 1 1 X+2 0 1 0 1 1 1 X 1 X+2 1 1 1 1 X 1 0 1 0 0 X+2 X 1 1 X 1 1 1 0 1 1 0 1 1 1 0 X+1 2 X+1 1 1 X+3 2 1 1 0 0 1 X+3 1 X+2 1 X+1 X 1 X+2 3 1 X+1 X+2 1 1 X+3 X 1 X+1 X+3 2 1 1 1 0 X 1 1 2 1 X+3 X+2 1 3 0 X+3 1 1 X+3 1 X+1 X+3 X+1 1 X+1 1 3 3 X+1 2 1 X+3 1 X+2 1 X 1 X 1 X X 1 3 0 0 0 X 0 0 0 0 X+2 2 X X+2 X+2 0 0 2 2 0 2 X+2 X+2 X X+2 X+2 X X X 2 2 X X+2 X 0 X X+2 X+2 2 X+2 0 0 X+2 2 2 X+2 X+2 X 0 X 2 0 X+2 2 X+2 X+2 X+2 X 0 0 2 0 X 0 X+2 X+2 X+2 X+2 2 X X X+2 X X 2 2 0 X+2 2 2 X X X+2 2 X+2 X 0 0 0 X 0 0 0 0 X+2 X X X+2 X+2 X 0 2 X X+2 2 0 X 2 X+2 X+2 2 X+2 X X+2 X+2 2 X+2 X+2 X 2 0 2 X 2 X 0 2 X+2 2 0 2 X 2 0 X+2 X+2 0 X X X+2 X X+2 2 0 2 0 X X+2 X 2 0 0 0 0 2 0 X+2 X 2 X 0 2 2 0 X+2 X+2 2 0 0 0 0 0 0 X 0 X+2 X X+2 X+2 2 0 X+2 0 X 0 2 X 2 X+2 X+2 0 2 X X X+2 2 0 X 0 2 X 2 X 2 X X X X+2 2 X+2 X X X X+2 2 0 2 2 0 X 0 2 0 2 X 2 X X+2 X+2 X X+2 0 X X 0 X 2 0 0 X 2 0 0 X+2 X X X+2 X+2 X+2 X+2 0 X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 2 0 2 2 0 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+120x^74+124x^75+304x^76+324x^77+494x^78+584x^79+661x^80+664x^81+632x^82+704x^83+576x^84+664x^85+472x^86+600x^87+345x^88+312x^89+210x^90+100x^91+112x^92+20x^93+84x^94+40x^96+30x^98+7x^100+6x^102+1x^104+1x^116 The gray image is a code over GF(2) with n=332, k=13 and d=148. This code was found by Heurico 1.16 in 5.98 seconds.