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 0 2 X 2 0 2 X X X X 0 1 2 1 1 X 2 2 2 1 0 1 1 X 0 0 1 1 1 0 1 2 1 1 1 1 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 2 X X+2 0 X 0 2 X X 2 0 0 X X+2 X+2 X+2 X 2 0 X X 2 2 0 2 0 0 2 2 X X+2 X 2 X 0 X 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 0 2 2 2 X+2 X X X+2 0 X+2 X 0 0 X+2 X+2 2 2 X X 0 X 2 X+2 X+2 2 X X+2 0 X 0 0 X+2 2 0 X+2 X+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 0 0 0 2 X 0 X 0 0 2 2 X+2 X+2 2 X+2 X+2 X+2 X+2 X 0 0 2 X+2 2 X X+2 X X 2 X X X+2 X+2 2 2 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 X X X X X X 2 X+2 0 X 0 2 0 0 0 X+2 X 0 0 X 0 0 X 0 X+2 2 X 2 0 0 X+2 X+2 X+2 2 X 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 2 2 X+2 X+2 X+2 0 X 2 2 2 2 X 2 2 X+2 X 2 0 X+2 X 2 X+2 0 X 2 0 0 X+2 X+2 0 2 0 0 X+2 X X+2 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 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+58x^70+76x^71+174x^72+210x^73+311x^74+400x^75+446x^76+606x^77+674x^78+918x^79+1141x^80+1236x^81+1263x^82+1396x^83+1463x^84+1276x^85+1046x^86+874x^87+649x^88+512x^89+439x^90+306x^91+241x^92+196x^93+133x^94+108x^95+95x^96+50x^97+38x^98+18x^99+14x^100+10x^101+5x^102+1x^122 The gray image is a code over GF(2) with n=332, k=14 and d=140. This code was found by Heurico 1.16 in 27.9 seconds.