The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 2 0 1 1 1 2 1 1 1 1 2 1 1 1 0 1 1 1 2 1 1 1 1 0 0 1 0 1 2 1 1 0 1 1 1 1 1 2 0 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 1 3 1 1 0 1 0 0 3 3 1 1 0 3 2 1 3 1 0 1 1 0 1 2 1 3 2 1 1 0 2 3 2 1 1 1 1 3 1 1 3 1 1 3 1 2 0 0 1 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+94x^56+64x^58+355x^60+280x^62+576x^64+416x^66+590x^68+432x^70+509x^72+288x^74+296x^76+56x^78+91x^80+34x^84+9x^88+5x^92 The gray image is a code over GF(2) with n=136, k=12 and d=56. This code was found by Heurico 1.16 in 3.34 seconds.