The generator matrix 1 0 0 0 0 0 0 1 1 1 2 2 2 0 2 1 1 0 1 1 0 1 0 2 2 1 2 1 1 1 1 1 0 1 1 2 2 1 0 1 1 1 1 2 2 1 0 2 2 2 0 1 1 2 1 1 2 1 0 1 0 1 1 0 2 0 1 1 2 0 1 2 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 2 1 1 2 3 3 2 1 0 0 1 1 1 0 2 1 1 1 0 2 3 0 0 2 1 1 0 2 1 1 0 1 0 1 1 2 1 0 1 1 2 3 1 2 2 1 3 1 2 2 0 0 1 2 1 2 0 0 2 1 0 3 1 1 3 0 0 2 1 0 2 1 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 3 3 0 1 1 1 2 2 1 1 2 0 1 3 2 1 2 1 3 0 1 0 2 1 1 2 2 0 0 3 1 0 1 2 1 3 1 2 0 1 0 2 0 0 2 3 2 3 1 3 0 1 1 0 1 0 1 1 1 1 2 0 1 1 0 1 3 3 2 1 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 1 1 3 3 1 3 3 1 3 2 1 2 0 3 1 2 3 3 1 2 0 2 2 2 1 1 3 0 0 0 3 2 1 3 0 2 3 2 2 3 1 3 0 3 1 3 0 0 1 2 2 1 0 3 1 0 0 0 1 0 2 3 3 0 1 3 1 2 3 0 0 0 0 0 0 0 0 1 0 0 2 1 3 1 3 3 0 1 1 0 1 0 3 2 2 3 0 3 3 3 3 0 1 2 3 1 2 2 3 0 3 0 1 3 0 0 1 3 1 1 0 3 0 3 3 2 2 3 0 2 0 3 2 2 3 3 2 0 3 2 0 2 1 2 1 0 1 3 1 1 2 3 2 0 1 0 1 0 0 0 0 0 0 0 0 1 0 3 1 2 3 1 1 2 1 0 1 0 2 3 3 2 1 1 2 1 0 1 3 0 0 0 1 1 2 0 3 2 2 1 3 2 3 0 0 2 3 3 0 2 1 0 3 0 2 0 0 0 0 3 2 3 1 3 0 0 1 1 3 1 1 0 3 3 3 3 0 2 1 1 3 0 2 3 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 0 3 0 1 3 2 1 1 2 2 0 1 3 3 1 2 3 2 3 3 2 0 3 2 3 2 3 1 2 1 1 3 0 2 3 2 3 2 3 1 0 0 1 1 3 0 0 2 3 0 2 2 0 1 2 3 0 2 1 2 2 1 3 1 3 0 2 1 1 3 0 1 0 0 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+28x^70+54x^71+88x^72+130x^73+194x^74+252x^75+345x^76+450x^77+463x^78+536x^79+631x^80+698x^81+683x^82+732x^83+837x^84+802x^85+878x^86+908x^87+814x^88+862x^89+799x^90+770x^91+697x^92+636x^93+625x^94+496x^95+463x^96+342x^97+325x^98+264x^99+159x^100+138x^101+76x^102+70x^103+50x^104+32x^105+23x^106+14x^107+10x^108+6x^109+2x^110+1x^112 The gray image is a code over GF(2) with n=174, k=14 and d=70. This code was found by Heurico 1.16 in 99.8 seconds.