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 2 1 1 1 1 2 2 2 2 2 2 2 2 2 0 1 1 2 1 0 1 2 2 2 2 1 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 2 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 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 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 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 2 2 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 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 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 0 2 2 2 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 0 2 2 0 2 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 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 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 0 2 0 0 0 2 2 0 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 0 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 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 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 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 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 0 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 0 0 2 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 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 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+135x^64+2x^66+392x^68+18x^70+579x^72+206x^74+968x^76+590x^78+1359x^80+750x^82+1207x^84+414x^86+775x^88+66x^90+411x^92+2x^94+204x^96+93x^100+18x^104+1x^108+1x^128 The gray image is a code over GF(2) with n=162, k=13 and d=64. This code was found by Heurico 1.16 in 41.3 seconds.