The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 1 1 X 1 2 1 1 0 1 1 X+2 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 X 1 1 1 1 X+2 1 1 1 1 1 X 1 1 1 1 1 0 1 2 1 X+2 0 1 0 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 1 3 X+1 0 1 X+2 1 3 3 0 1 X+2 1 X+1 X+1 3 3 2 1 X 1 X+1 0 1 3 X+2 1 X+3 X+2 X+3 X 1 2 X+1 0 1 0 1 X+1 X+2 X+3 1 3 2 1 X+1 X+3 0 1 X+1 1 X+3 3 1 X 3 X 2 X+3 X+2 1 X 1 3 1 X X+3 1 X+1 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+59x^72+66x^73+201x^74+132x^75+218x^76+140x^77+155x^78+116x^79+222x^80+132x^81+202x^82+112x^83+126x^84+44x^85+68x^86+20x^87+11x^88+2x^89+10x^90+4x^91+1x^94+1x^96+1x^98+2x^104+1x^106+1x^114 The gray image is a code over GF(2) with n=316, k=11 and d=144. This code was found by Heurico 1.16 in 0.528 seconds.