The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 0 1 1 1 1 0 2 1 1 1 0 2 1 1 1 1 0 1 0 2 1 1 2 0 1 1 1 2 1 2 0 1 1 1 0 0 1 1 1 2 1 2 1 1 2 2 1 2 1 1 1 1 2 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 1 0 3 2 1 1 3 0 2 3 1 3 1 1 0 1 1 1 0 2 1 1 0 1 1 3 0 0 1 1 0 1 1 0 2 1 2 3 1 2 1 1 2 1 1 3 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 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 2 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+67x^54+175x^56+270x^58+456x^60+709x^62+862x^64+1017x^66+1139x^68+1013x^70+842x^72+687x^74+451x^76+243x^78+125x^80+71x^82+33x^84+16x^86+10x^88+3x^90+1x^92+1x^104 The gray image is a code over GF(2) with n=136, k=13 and d=54. This code was found by Heurico 1.16 in 12.9 seconds.