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 X 2 X X 1 1 1 2 X X 1 1 0 X X 1 1 1 1 1 1 X 0 1 X 1 1 2 X 1 0 X 2 1 X 0 1 1 X 1 0 X X X X X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X X+2 X X 0 2 X X X X+2 X 2 0 X 0 2 2 X 2 0 2 2 0 2 2 2 2 X+2 X 0 X 0 2 2 2 X+2 X X 0 X+2 0 0 X X+2 X+2 X+2 0 0 X+2 X X+2 0 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 2 0 0 0 X+2 2 X+2 X X+2 0 2 X 0 X+2 X+2 X 0 X X+2 X+2 2 X 0 2 2 0 X+2 X X X+2 X X+2 2 X X X+2 X X 2 X X 2 X 2 X+2 X 2 0 X+2 X+2 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X 2 0 X+2 0 X X+2 0 0 X+2 0 2 X+2 X+2 0 X+2 X+2 0 2 0 X 2 2 0 X+2 0 X+2 0 X X+2 0 X+2 X X 0 0 X X 0 2 2 X 0 X 0 0 X X+2 2 X+2 X 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 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+113x^72+367x^74+564x^76+712x^78+1144x^80+1264x^82+1320x^84+1083x^86+622x^88+472x^90+234x^92+162x^94+76x^96+32x^98+16x^100+3x^102+3x^104+1x^106+2x^108+1x^112 The gray image is a code over GF(2) with n=332, k=13 and d=144. This code was found by Heurico 1.16 in 7.9 seconds.