The generator matrix 1 0 0 0 0 0 0 1 1 1 2 0 0 2 1 1 1 1 0 1 0 1 2 1 1 2 2 2 0 1 0 0 1 1 0 2 0 1 2 2 1 2 0 1 1 1 1 0 0 1 1 1 1 1 2 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 2 1 1 0 3 0 1 1 1 2 0 1 2 1 0 0 2 0 0 1 0 1 2 1 3 3 0 2 1 0 2 1 2 0 1 1 2 2 3 3 2 3 0 0 2 1 3 0 3 1 2 0 0 1 0 0 0 0 0 0 0 0 0 1 3 1 2 1 1 3 1 2 0 1 2 1 3 0 1 1 2 0 2 0 3 1 0 1 2 2 1 0 2 1 2 1 2 2 1 2 0 0 3 0 3 1 0 0 1 3 1 1 3 1 3 2 2 1 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 1 3 3 1 1 3 1 1 3 3 1 2 3 1 3 2 1 2 2 1 0 3 2 3 2 0 1 1 1 3 0 2 1 3 2 1 0 0 0 3 1 0 0 0 0 0 1 0 0 0 1 1 1 2 0 1 0 1 3 0 3 1 2 1 2 0 0 2 3 2 1 0 3 3 2 1 2 2 1 3 2 1 1 1 2 3 0 3 1 3 1 0 0 0 2 1 3 3 1 0 2 0 3 3 1 0 3 1 0 2 2 2 0 0 0 0 0 1 0 1 0 1 3 2 0 3 0 3 2 3 2 3 1 1 1 1 2 3 3 2 3 1 3 0 0 2 0 1 2 0 0 3 3 3 3 2 1 3 0 3 2 2 0 3 1 1 3 3 0 1 1 0 0 1 0 1 1 2 2 3 3 3 0 0 0 0 0 0 1 1 3 2 1 1 1 2 3 0 2 2 3 0 1 3 0 0 0 3 2 2 3 2 0 2 1 3 3 0 2 3 0 1 3 3 1 2 2 1 0 3 3 1 0 0 2 3 0 2 0 2 3 1 0 0 2 1 2 0 0 1 0 1 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 2 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 generates a code of length 70 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+166x^56+784x^58+1293x^60+2032x^62+2677x^64+3234x^66+3917x^68+4240x^70+4069x^72+3658x^74+2868x^76+1800x^78+1078x^80+542x^82+270x^84+88x^86+40x^88+6x^90+3x^92+1x^100+1x^104 The gray image is a code over GF(2) with n=140, k=15 and d=56. This code was found by Heurico 1.10 in 117 seconds.