The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 0 0 1 1 X 2 1 X X 2 X 1 2 1 1 1 1 1 X 2 X 1 2 1 X 1 1 X X 1 1 X 1 X 0 1 X X X 1 0 0 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 X 2 2 X 2 2 0 X 2 X+2 0 2 X X+2 0 X 2 X 0 X 0 0 X X+2 X 0 X 2 2 X 0 0 2 0 X+2 X X 2 X 0 X 2 X X 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 0 X 2 0 X+2 X X X 2 2 X+2 X 0 0 0 2 X X X X+2 X+2 X X X+2 0 0 0 X+2 X+2 X+2 2 2 0 X+2 X+2 2 0 X+2 0 X 2 X 2 2 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X+2 2 X X X 0 2 2 X X+2 X 0 2 X 2 0 X 0 2 0 2 2 X+2 X+2 0 X+2 X+2 X X+2 0 0 2 X+2 0 X+2 2 X 2 0 X+2 X+2 X X X+2 0 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 0 X+2 2 X X 0 X 0 2 X+2 X+2 X+2 0 X X X 0 X+2 X X+2 X 0 X+2 X+2 X X X X+2 X+2 X X X 2 2 2 X 0 2 0 X+2 X+2 X X X 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+50x^73+108x^74+202x^75+219x^76+282x^77+330x^78+434x^79+507x^80+508x^81+582x^82+558x^83+728x^84+694x^85+580x^86+520x^87+454x^88+348x^89+212x^90+218x^91+169x^92+108x^93+82x^94+106x^95+78x^96+54x^97+18x^98+6x^99+19x^100+4x^101+8x^102+4x^103+1x^116 The gray image is a code over GF(2) with n=336, k=13 and d=146. This code was found by Heurico 1.16 in 7.91 seconds.