The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 2 1 1 0 1 0 1 1 2 2 1 0 2 2 1 1 1 2 2 0 1 1 2 1 1 0 0 1 0 1 1 2 2 2 1 1 0 2 1 1 1 2 2 0 2 1 2 1 0 2 2 1 2 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 1 1 0 0 3 2 1 3 0 2 2 1 1 1 2 0 2 0 0 1 2 2 1 1 1 1 2 0 1 2 3 0 2 1 2 3 1 1 3 0 3 1 1 1 1 2 1 2 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 0 3 1 0 0 1 2 0 0 1 2 2 3 0 0 2 0 0 1 1 1 2 0 1 3 2 0 3 3 1 3 1 1 1 3 1 3 0 0 2 0 1 0 2 2 0 2 2 3 0 3 2 1 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 1 0 2 1 3 3 2 1 1 1 2 2 1 0 0 3 0 1 3 1 3 1 2 1 1 3 1 3 2 3 2 1 0 2 2 0 2 1 0 1 0 3 2 3 2 0 1 1 0 2 3 2 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 2 3 1 1 1 3 0 1 3 1 1 1 0 3 0 2 2 0 1 0 2 2 3 3 2 2 0 1 0 3 2 2 2 2 0 0 3 0 0 0 2 0 3 0 2 2 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 generates a code of length 84 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+179x^72+446x^74+685x^76+710x^78+920x^80+828x^82+862x^84+800x^86+773x^88+748x^90+531x^92+338x^94+225x^96+88x^98+40x^100+8x^102+4x^104+2x^106+2x^108+1x^112+1x^128 The gray image is a code over GF(2) with n=168, k=13 and d=72. This code was found by Heurico 1.16 in 14.3 seconds.