The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 2 1 0 1 2 1 1 1 1 2 0 1 2 1 0 1 2 1 1 1 0 0 0 1 1 1 2 2 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 3 1 3 0 3 1 2 1 3 1 3 0 2 1 1 0 1 0 1 0 1 3 3 0 2 1 1 3 1 1 1 3 1 0 2 0 0 1 1 1 3 2 1 0 1 1 3 1 1 0 3 0 0 0 0 2 0 0 0 0 0 0 0 2 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 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+27x^56+10x^57+75x^58+52x^59+157x^60+110x^61+155x^62+184x^63+197x^64+260x^65+224x^66+268x^67+238x^68+268x^69+226x^70+288x^71+184x^72+258x^73+174x^74+188x^75+142x^76+102x^77+94x^78+40x^79+50x^80+16x^81+48x^82+4x^83+22x^84+18x^86+5x^88+7x^90+1x^92+3x^94 The gray image is a code over GF(2) with n=138, k=12 and d=56. This code was found by Heurico 1.16 in 3.32 seconds.