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 1 1 1 1 1 2 2 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 2 0 1 1 1 2 2 1 1 1 0 1 1 1 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 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 2 0 0 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 2 generates a code of length 78 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+71x^68+10x^70+125x^72+144x^74+99x^76+212x^78+66x^80+128x^82+54x^84+18x^86+45x^88+31x^92+19x^96+1x^132 The gray image is a code over GF(2) with n=156, k=10 and d=68. This code was found by Heurico 1.16 in 0.387 seconds.