The generator matrix 1 0 0 0 1 1 1 2 1 1 2 1 1 2 0 1 0 1 1 2 1 0 1 0 1 2 2 0 1 1 1 2 0 2 0 2 1 0 1 1 2 1 1 0 1 2 1 0 1 1 1 1 2 1 1 1 1 0 1 1 2 0 1 2 1 1 1 1 0 2 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 3 1 2 3 2 2 1 2 2 3 1 1 2 2 3 3 1 1 1 1 1 0 1 1 2 1 0 0 2 0 2 0 2 0 0 1 1 1 3 3 3 2 2 0 1 2 1 1 2 0 0 1 1 2 0 0 0 0 0 1 0 1 2 3 1 0 1 1 2 3 0 1 3 2 3 2 1 0 1 1 1 0 2 1 2 2 3 1 1 3 3 3 3 1 0 3 1 2 0 2 0 2 0 3 1 0 1 2 0 3 1 0 2 0 1 2 0 1 3 3 1 3 1 1 3 1 1 3 3 0 0 0 1 2 1 3 3 1 3 0 0 2 3 1 2 2 0 3 3 3 3 1 2 2 3 2 1 2 1 0 1 1 3 3 1 1 3 0 3 1 3 0 1 2 1 0 0 2 0 2 2 0 3 1 0 0 3 3 3 3 0 1 2 1 1 1 3 1 1 2 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+23x^68+36x^69+45x^70+64x^71+26x^72+4x^74+8x^76+24x^77+6x^78+3x^80+4x^82+1x^84+4x^85+5x^86+2x^88 The gray image is a code over GF(2) with n=144, k=8 and d=68. This code was found by Heurico 1.10 in 0 seconds.