The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 2 0 1 1 0 2 1 2 1 1 1 2 1 2 1 2 1 1 1 0 1 2 1 2 0 1 2 1 1 0 0 1 0 1 2 1 1 2 1 1 1 1 1 0 2 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 1 0 1 1 1 1 0 2 3 2 3 0 0 2 2 1 0 3 1 1 2 1 3 2 1 3 2 0 1 0 1 0 1 1 2 0 3 2 1 0 0 0 3 1 1 2 0 3 2 2 1 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 3 1 1 2 0 1 3 1 3 0 1 1 1 1 3 3 0 0 1 2 0 1 2 1 2 1 1 2 3 1 0 3 3 1 1 1 3 1 3 3 0 1 0 1 0 0 0 0 1 1 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 generates a code of length 70 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+156x^56+220x^58+744x^60+876x^62+1504x^64+1490x^66+2172x^68+1962x^70+2304x^72+1568x^74+1536x^76+848x^78+566x^80+178x^82+172x^84+26x^86+44x^88+16x^92+1x^96 The gray image is a code over GF(2) with n=140, k=14 and d=56. This code was found by Heurico 1.16 in 44.3 seconds.