The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 2 1 1 1 0 2 2 2 0 1 2 2 1 1 1 1 2 1 0 0 1 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 0 2 2 0 0 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 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 2 0 0 0 2 generates a code of length 70 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+49x^58+100x^60+127x^62+199x^64+216x^66+241x^68+286x^70+220x^72+180x^74+144x^76+96x^78+78x^80+44x^82+25x^84+18x^86+13x^88+7x^90+2x^92+1x^94+1x^104 The gray image is a code over GF(2) with n=140, k=11 and d=58. This code was found by Heurico 1.16 in 1.42 seconds.