The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 2 1 0 1 1 1 0 2 1 2 1 0 1 2 1 1 1 0 2 1 1 1 0 0 2 0 2 1 2 1 1 0 1 0 1 0 0 1 0 2 1 2 0 1 1 0 2 2 1 1 2 1 2 2 0 2 0 0 2 1 0 1 1 2 0 1 2 0 1 1 0 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 0 2 0 3 2 2 2 0 1 1 1 1 2 1 2 1 0 0 1 0 3 3 1 1 1 1 1 3 2 0 3 1 3 0 0 1 0 2 2 1 1 1 2 3 2 1 1 2 0 0 2 3 1 1 0 1 1 0 1 2 0 2 0 0 1 1 1 1 3 1 1 0 0 1 0 1 1 0 1 0 3 2 1 2 3 0 1 1 2 3 1 2 1 1 0 3 1 0 2 3 0 2 2 2 0 1 2 2 2 0 0 0 3 1 1 3 0 1 3 2 2 0 1 1 1 0 1 2 1 1 1 3 0 1 2 0 1 2 0 1 1 0 1 1 0 3 1 1 0 0 3 3 0 3 3 3 1 0 0 0 1 1 0 1 1 1 0 2 3 3 2 1 3 3 1 0 0 0 2 1 0 2 3 3 3 3 3 3 2 1 3 3 3 2 2 2 0 2 1 2 2 3 0 2 3 1 3 2 3 1 3 2 3 1 2 2 2 1 1 2 0 3 2 3 0 0 3 1 2 2 2 1 3 3 3 1 2 0 3 0 2 3 3 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 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 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 2 2 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+238x^76+326x^78+461x^80+488x^82+490x^84+468x^86+372x^88+298x^90+291x^92+218x^94+220x^96+88x^98+84x^100+28x^102+18x^104+6x^106+1x^108 The gray image is a code over GF(2) with n=172, k=12 and d=76. This code was found by Heurico 1.16 in 56.9 seconds.