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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 0 2 1 2 2 2 0 0 1 2 1 0 1 1 1 2 2 1 2 2 1 2 1 1 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 generates a code of length 96 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+57x^78+140x^80+199x^82+251x^84+336x^86+444x^88+600x^90+781x^92+886x^94+912x^96+852x^98+768x^100+600x^102+420x^104+314x^106+208x^108+145x^110+113x^112+77x^114+37x^116+24x^118+16x^120+6x^122+3x^124+1x^128+1x^144 The gray image is a code over GF(2) with n=192, k=13 and d=78. This code was found by Heurico 1.16 in 53.4 seconds.