The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 2 0 1 2 1 1 0 1 1 2 1 0 0 2 1 1 1 0 2 1 0 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 0 1 1 0 0 2 0 2 1 2 1 0 2 2 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 3 1 2 3 1 3 0 1 2 1 1 0 1 2 3 0 0 2 1 2 1 1 3 0 2 1 2 2 1 1 0 0 2 1 1 2 3 3 0 1 0 1 2 3 2 0 1 1 2 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 3 1 1 0 0 2 0 2 2 3 0 2 3 1 3 0 0 0 1 3 0 1 3 0 1 2 1 3 0 0 2 3 1 2 1 0 2 1 2 3 0 1 2 0 1 0 1 3 1 2 1 0 0 0 1 0 1 1 0 1 0 1 3 3 2 0 2 1 1 0 3 0 3 2 2 1 0 1 1 0 0 3 2 3 1 1 2 0 0 2 3 0 3 2 3 1 2 1 1 1 2 0 2 2 3 0 2 1 2 1 3 2 1 1 1 1 3 2 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 3 0 3 0 3 2 2 0 1 1 1 0 2 2 3 0 1 3 3 0 0 1 3 1 2 3 3 2 3 3 1 3 2 3 3 0 2 1 2 0 1 0 2 0 0 1 1 0 0 0 0 1 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 0 2 2 0 0 0 0 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+90x^54+144x^55+220x^56+342x^57+473x^58+554x^59+604x^60+632x^61+724x^62+882x^63+980x^64+992x^65+981x^66+998x^67+1035x^68+1098x^69+992x^70+892x^71+801x^72+742x^73+583x^74+494x^75+353x^76+252x^77+216x^78+114x^79+83x^80+36x^81+33x^82+18x^83+14x^84+2x^85+2x^86+3x^88+1x^90+1x^92+1x^100+1x^106 The gray image is a code over GF(2) with n=134, k=14 and d=54. This code was found by Heurico 1.16 in 73.3 seconds.