The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 1 2 1 2 0 1 1 1 1 0 1 0 1 1 1 1 2 0 2 2 1 1 0 2 1 1 2 1 0 2 1 0 1 0 0 2 1 2 0 1 2 1 1 0 2 1 0 1 1 1 1 1 1 2 1 2 1 0 1 0 1 1 0 2 1 0 1 0 1 0 1 1 0 0 1 3 1 1 2 0 2 0 3 1 3 1 1 1 1 2 0 1 3 1 3 1 0 2 2 2 1 1 3 1 0 1 2 1 1 2 1 2 2 1 0 1 1 1 0 1 2 3 1 3 1 1 1 3 0 2 1 2 0 3 3 2 1 1 1 0 0 1 2 0 1 0 0 0 0 1 1 1 0 1 0 1 3 2 2 1 0 1 1 1 3 2 2 1 1 3 3 3 2 2 0 2 1 3 2 3 1 1 1 3 3 3 1 0 2 2 0 1 3 1 1 2 0 1 3 2 3 3 1 2 3 0 2 2 1 0 1 2 1 0 0 1 0 1 0 3 3 1 1 0 1 3 3 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+36x^70+42x^71+118x^72+150x^73+184x^74+174x^75+205x^76+232x^77+209x^78+226x^79+211x^80+230x^81+213x^82+256x^83+202x^84+198x^85+196x^86+178x^87+160x^88+142x^89+109x^90+114x^91+79x^92+48x^93+50x^94+34x^95+34x^96+22x^97+19x^98+8x^100+2x^101+4x^102+4x^104+3x^106+2x^108+1x^110 The gray image is a code over GF(2) with n=164, k=12 and d=70. This code was found by Heurico 1.16 in 3.6 seconds.