The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 2 0 0 2 1 1 1 1 2 1 1 1 1 1 1 2 0 1 1 0 2 1 2 1 1 1 0 1 1 2 0 1 1 2 2 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 1 1 0 1 1 0 0 2 3 1 1 1 2 2 1 1 0 1 0 0 1 0 2 0 1 1 2 1 1 1 0 2 1 0 2 2 2 2 3 3 3 3 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 0 1 0 1 2 1 0 3 3 2 3 3 3 1 3 2 2 3 1 1 1 1 2 1 2 3 0 0 0 2 3 1 1 3 2 3 2 1 0 1 3 1 2 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 2 1 1 2 0 3 1 1 1 3 2 1 2 3 2 3 2 0 0 0 0 2 1 2 3 1 0 1 0 3 3 1 0 1 2 0 3 3 0 3 0 2 0 0 1 2 0 0 0 0 2 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 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 2 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 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 0 2 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 generates a code of length 67 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+166x^54+484x^56+888x^58+1184x^60+1489x^62+1874x^64+2037x^66+2111x^68+1971x^70+1653x^72+1167x^74+696x^76+399x^78+154x^80+67x^82+23x^84+7x^86+9x^88+1x^90+2x^92+1x^96 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 73.2 seconds.