The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 1 1 1 0 2 2 2 1 1 1 1 2 2 1 1 1 1 2 1 0 0 1 1 1 1 0 1 2 1 0 2 2 1 1 1 1 1 1 1 1 0 1 2 0 2 1 1 0 2 2 2 1 1 1 1 2 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 0 1 0 2 2 3 0 0 0 3 0 2 1 1 1 1 0 3 2 1 2 2 1 0 0 1 2 1 3 2 3 3 2 3 1 2 3 2 1 1 2 3 2 1 1 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 3 1 1 1 3 1 1 3 3 1 2 2 3 1 0 3 2 3 2 3 0 2 2 1 0 0 1 0 2 1 0 3 3 2 2 3 0 1 1 3 0 2 1 3 3 2 2 0 1 3 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 3 0 1 3 0 1 1 3 2 2 1 2 0 0 2 1 2 2 2 3 3 2 0 1 1 1 2 2 3 1 3 1 1 3 2 0 2 1 2 0 2 1 0 1 2 2 0 1 0 3 0 1 3 3 3 2 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 3 0 1 1 2 2 2 3 2 1 0 1 2 0 3 3 3 0 1 2 3 1 0 2 1 0 2 2 0 0 3 0 2 2 1 0 2 1 2 1 1 1 1 3 1 3 2 1 2 1 2 3 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 3 3 1 1 3 0 3 3 2 2 0 3 2 2 2 0 0 3 1 2 3 1 1 0 2 1 2 2 2 2 2 2 3 0 1 2 3 0 1 2 3 1 2 3 3 2 2 1 3 3 0 0 3 1 2 1 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 generates a code of length 71 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+164x^58+557x^60+844x^62+1383x^64+1464x^66+1803x^68+1982x^70+2053x^72+1746x^74+1619x^76+1208x^78+802x^80+460x^82+197x^84+62x^86+31x^88+6x^90+1x^96+1x^112 The gray image is a code over GF(2) with n=142, k=14 and d=58. This code was found by Heurico 1.16 in 80.7 seconds.