The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 2 1 1 0 1 1 0 1 1 1 X 1 1 0 1 1 0 1 0 1 1 1 1 1 X+2 1 1 1 1 2 X+2 0 1 1 X+2 1 1 0 1 0 1 1 1 1 X 1 0 1 X+2 X 1 1 0 1 X+2 1 1 1 X 1 X 2 X 1 1 0 0 0 1 X 1 0 1 1 0 1 1 X X+3 1 X+2 X+3 1 1 2 X+1 1 X+3 X 1 0 X+3 1 1 0 3 1 X+2 2 1 X+3 1 X+2 X+1 3 2 3 1 2 3 X X+2 1 1 1 1 X+2 1 2 X+3 1 0 1 1 0 X+3 X+2 1 X+2 1 X+2 1 1 X+1 3 1 0 1 1 3 X+2 1 X 1 X X X+2 1 1 1 2 X+3 X+2 X+1 0 0 X 0 0 0 0 0 0 0 X+2 2 X+2 X 2 X X X 2 X+2 X X X+2 X+2 2 X 0 X+2 X+2 0 2 X 0 X+2 0 2 X 2 X+2 X+2 X+2 2 0 X+2 X+2 0 2 2 X+2 X+2 X+2 X X+2 X+2 0 X+2 0 X+2 X+2 0 X X X+2 2 X+2 0 2 X X+2 0 X X 0 0 2 X 2 2 X 0 0 0 0 0 0 0 X 0 0 X 2 0 0 0 0 0 X X X X+2 2 X+2 0 X+2 2 X+2 X+2 2 0 X 2 X X+2 X X+2 X X+2 X X+2 0 0 X 2 2 2 X 0 2 X+2 2 0 2 2 0 0 X+2 2 0 X+2 X+2 X X 2 X+2 X+2 X+2 2 X 0 0 X X X+2 X X+2 X X+2 X 0 X X+2 X+2 X X 2 X+2 0 0 0 0 X 0 0 X+2 X+2 2 2 X+2 2 X+2 X+2 2 2 X X X X X+2 X 0 0 X+2 X+2 0 X+2 2 0 0 X+2 2 X+2 X+2 X X X+2 0 X+2 X+2 2 2 X+2 X X+2 X 0 X X+2 2 X 2 X X X 2 X X+2 X 2 X+2 X 0 X+2 0 X 2 X+2 X+2 X X X 2 X+2 X X 2 X 0 X X+2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+56x^72+164x^73+237x^74+356x^75+494x^76+572x^77+769x^78+1064x^79+1265x^80+1358x^81+1325x^82+1366x^83+1346x^84+1218x^85+1223x^86+926x^87+710x^88+648x^89+433x^90+316x^91+175x^92+112x^93+79x^94+56x^95+32x^96+22x^97+19x^98+10x^99+16x^100+2x^101+9x^102+2x^103+2x^106+1x^108 The gray image is a code over GF(2) with n=332, k=14 and d=144. This code was found by Heurico 1.16 in 20.2 seconds.