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 1 1 1 1 1 1 1 1 0 2 2 2 X X X 2 0 0 2 1 X 2 0 1 1 X 0 2 1 X 1 1 X X X 2 1 1 1 X 1 X 2 1 X 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 2 X+2 0 X+2 2 X X+2 X 0 X+2 2 X X 2 X X+2 2 X 2 X 0 2 2 0 X X 0 0 0 X 0 X 2 X 2 0 0 X X+2 X+2 X+2 X X X+2 X X 2 0 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 2 2 X 0 X X+2 X+2 X X 2 0 X+2 X 0 X+2 2 0 0 X 2 X X X 0 X+2 X+2 2 X+2 X 0 X+2 2 2 0 X 0 X+2 2 2 X X+2 0 X+2 2 0 0 2 0 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 2 X X X+2 0 2 X 0 2 0 X+2 2 X X 0 X X+2 X 0 0 X+2 2 0 2 X 2 X+2 X+2 X+2 X X+2 X 2 X+2 2 X+2 0 X+2 0 X 2 2 X X+2 0 X+2 0 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 0 X 0 2 2 0 X+2 2 2 2 X 0 X+2 2 X+2 2 0 X+2 0 2 0 0 X+2 X 2 X 0 2 2 2 2 X+2 0 0 X+2 X+2 X X X+2 2 X 2 X X+2 2 0 0 0 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 2 X+2 0 0 X+2 X+2 X+2 X X X+2 2 X X+2 X 0 2 0 0 0 X X X+2 0 X+2 X X+2 X+2 2 0 X 2 X+2 0 X X+2 0 X+2 2 2 X+2 0 X 0 X X+2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+66x^72+100x^73+160x^74+242x^75+336x^76+358x^77+500x^78+648x^79+757x^80+912x^81+1074x^82+1272x^83+1202x^84+1354x^85+1342x^86+1114x^87+1009x^88+856x^89+718x^90+600x^91+403x^92+340x^93+323x^94+214x^95+161x^96+92x^97+91x^98+62x^99+31x^100+18x^101+14x^102+8x^103+2x^104+1x^106+2x^109+1x^118 The gray image is a code over GF(2) with n=340, k=14 and d=144. This code was found by Heurico 1.16 in 30.4 seconds.