The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 1 1 2 1 0 0 1 1 0 1 1 0 0 2 2 0 2 1 2 1 0 0 0 0 2 2 1 1 1 2 1 1 1 1 2 2 0 2 1 0 0 1 0 1 1 1 1 2 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 3 1 1 0 0 2 1 3 0 3 1 0 0 0 2 2 2 3 1 2 1 1 1 2 1 1 2 0 2 1 3 1 1 3 1 2 1 1 1 0 2 0 1 0 2 3 3 1 0 2 1 0 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 2 3 0 1 0 1 2 1 2 3 2 2 0 0 2 1 2 2 3 3 1 2 0 0 0 1 3 2 0 0 1 3 0 0 0 1 0 1 1 1 1 3 2 0 2 3 1 2 3 3 1 0 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 3 0 1 2 1 3 2 1 1 3 2 1 1 1 1 3 0 0 1 1 3 2 3 2 3 2 0 1 3 1 3 1 3 0 1 3 0 3 3 1 3 3 2 1 2 3 3 1 3 3 0 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 3 2 1 1 0 3 0 2 3 1 3 3 2 1 1 3 1 2 1 2 1 3 3 0 1 2 3 3 3 3 3 1 2 2 0 3 2 3 1 3 2 2 2 2 3 1 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 generates a code of length 83 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+57x^70+80x^71+191x^72+206x^73+299x^74+374x^75+316x^76+342x^77+358x^78+424x^79+419x^80+420x^81+434x^82+478x^83+407x^84+422x^85+391x^86+410x^87+407x^88+316x^89+297x^90+284x^91+250x^92+168x^93+172x^94+102x^95+44x^96+42x^97+33x^98+24x^99+10x^100+4x^101+6x^102+2x^104+1x^114+1x^132 The gray image is a code over GF(2) with n=166, k=13 and d=70. This code was found by Heurico 1.16 in 13.7 seconds.