The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 0 1 2 1 1 0 1 0 0 2 1 1 2 1 1 2 1 1 1 0 0 1 2 1 1 0 1 0 2 0 0 0 0 1 2 1 0 0 1 1 1 2 1 2 1 0 0 2 1 2 1 0 1 1 0 2 1 1 1 1 0 1 2 2 0 1 2 2 1 1 1 1 1 2 1 0 1 0 0 0 0 0 0 0 0 0 0 2 1 1 3 1 1 2 1 0 1 3 3 2 1 2 0 3 2 1 1 0 2 1 1 3 0 0 0 1 1 1 0 2 3 1 0 2 1 3 1 2 1 0 1 3 0 1 2 2 1 3 1 1 1 2 2 0 2 1 2 1 2 2 2 1 2 1 1 0 2 3 1 0 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 3 1 1 3 1 1 0 1 1 1 3 3 2 1 3 1 0 2 2 1 1 3 1 3 1 0 2 0 2 1 3 2 0 1 0 3 3 0 2 2 0 1 1 0 2 3 2 1 2 0 3 3 3 0 0 1 2 3 1 1 0 0 2 0 3 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 1 3 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 3 1 1 3 1 3 2 1 3 1 1 3 1 1 2 0 2 1 3 1 1 1 2 0 0 0 0 0 1 0 0 0 0 3 0 1 1 2 3 3 3 1 1 2 2 1 0 0 3 1 0 1 3 3 1 2 1 0 1 2 1 1 0 1 0 2 3 3 1 3 1 1 3 3 1 2 1 2 2 3 1 1 3 0 0 0 1 3 1 1 3 3 1 0 1 0 1 2 1 1 2 2 1 0 3 1 3 2 0 0 0 0 0 0 0 0 1 0 0 2 1 3 0 1 3 1 2 1 0 1 2 0 3 0 1 2 2 1 2 0 0 0 3 3 2 2 0 3 0 3 1 3 3 1 3 1 1 2 2 2 2 1 3 2 1 2 0 0 3 0 2 3 2 0 0 0 3 2 0 2 3 1 3 2 2 2 1 1 2 0 1 3 3 2 2 3 1 0 0 0 0 0 0 0 1 0 3 2 1 3 3 0 0 0 3 1 2 2 3 0 1 0 0 1 1 3 0 1 1 1 3 3 1 2 2 3 0 0 0 3 3 3 3 2 2 1 1 2 3 1 2 1 1 1 1 0 3 1 2 3 0 0 0 0 0 3 1 2 2 3 1 1 0 2 0 2 1 3 3 1 3 2 2 0 0 0 0 0 0 0 0 0 1 1 3 2 2 1 0 2 0 2 0 2 3 3 1 1 1 3 1 3 2 3 3 2 2 0 0 1 3 3 3 2 0 0 1 2 3 0 0 3 0 3 1 3 2 1 1 1 0 2 2 1 1 2 3 1 1 0 2 1 2 1 0 2 2 2 1 2 1 0 3 2 2 1 2 3 3 0 0 3 generates a code of length 87 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+84x^70+162x^71+381x^72+448x^73+741x^74+964x^75+1076x^76+1522x^77+1625x^78+1950x^79+2308x^80+2714x^81+2856x^82+2990x^83+3405x^84+3530x^85+3765x^86+3750x^87+3828x^88+3874x^89+3544x^90+3338x^91+3116x^92+2752x^93+2410x^94+2026x^95+1540x^96+1330x^97+995x^98+726x^99+573x^100+374x^101+289x^102+188x^103+132x^104+82x^105+69x^106+30x^107+22x^108+14x^109+3x^110+4x^111+1x^112+3x^114+1x^136 The gray image is a code over GF(2) with n=174, k=16 and d=70. This code was found by Heurico 1.13 in 307 seconds.