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 2 1 1 0 1 0 1 1 2 0 2 2 0 0 1 2 0 1 0 1 1 1 0 1 1 1 2 1 1 1 0 1 0 1 1 1 0 2 1 0 1 1 1 1 1 1 2 0 1 1 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 1 1 0 0 3 2 1 3 0 1 1 1 1 1 1 2 0 2 1 3 0 0 1 0 3 1 2 2 3 3 2 0 0 3 3 0 2 1 1 2 1 0 3 3 1 0 2 2 1 0 3 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 0 3 1 0 0 1 2 0 0 1 2 2 3 3 3 0 0 1 1 3 2 0 3 3 3 1 1 0 3 3 1 3 1 0 2 2 1 2 0 2 1 1 2 0 0 2 1 1 0 2 1 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 1 0 2 1 3 3 2 1 1 3 2 2 1 2 0 1 1 3 1 3 1 3 1 1 0 0 3 2 1 1 1 1 1 3 1 0 2 0 1 1 1 2 0 2 1 3 2 0 2 1 1 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 2 3 1 1 1 3 1 3 3 1 2 3 1 2 2 0 0 3 1 2 0 0 3 0 3 2 0 1 1 2 2 2 1 2 3 3 0 3 2 1 1 2 2 3 3 3 1 2 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 0 2 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 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 0 0 0 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 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 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+166x^70+432x^72+662x^74+816x^76+795x^78+875x^80+821x^82+893x^84+799x^86+746x^88+498x^90+348x^92+187x^94+95x^96+35x^98+15x^100+5x^102+1x^104+1x^112+1x^120 The gray image is a code over GF(2) with n=164, k=13 and d=70. This code was found by Heurico 1.16 in 14 seconds.