The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 0 0 0 2 0 2 1 2 1 1 2 1 2 1 1 1 2 1 0 1 0 2 2 1 2 1 1 1 1 1 0 2 0 0 1 1 0 0 0 2 2 1 1 1 0 0 0 0 1 1 1 1 1 2 1 0 0 2 1 1 1 0 1 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 0 2 2 0 0 2 2 0 2 2 2 0 0 0 0 2 2 1 1 3 1 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 0 3 3 2 1 3 1 2 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 1 2 1 2 1 1 1 1 0 1 0 0 1 1 2 3 2 0 1 1 2 2 1 2 1 0 0 0 1 3 3 3 1 3 1 3 0 2 0 0 2 2 1 3 1 2 2 0 1 1 2 2 0 1 2 1 1 0 2 1 3 0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 0 1 1 1 0 3 2 2 3 3 2 1 1 0 2 2 0 1 2 2 1 0 2 1 0 3 3 0 2 0 0 0 2 3 3 1 3 0 2 2 1 1 2 1 0 3 2 3 1 2 0 3 2 3 0 2 0 2 3 0 0 0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 1 3 3 0 3 0 3 2 3 1 1 3 3 0 0 3 2 3 3 0 0 1 2 0 1 0 3 1 2 1 3 3 0 0 2 1 1 2 1 0 2 3 1 3 3 0 2 0 0 2 3 0 2 3 1 0 0 0 2 1 1 0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 0 2 1 1 1 0 1 3 2 0 3 3 0 3 2 0 1 3 3 0 0 0 1 2 2 0 0 3 0 1 3 1 3 0 2 3 2 3 2 0 2 1 2 3 3 3 0 0 1 2 1 1 0 2 0 2 1 2 0 1 3 0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 3 3 1 1 2 1 3 1 0 1 3 0 2 2 0 0 2 1 0 1 2 2 1 3 2 2 1 1 0 0 3 1 2 0 1 1 0 3 1 0 3 2 3 3 2 3 1 1 2 2 2 0 1 2 2 0 2 3 1 3 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 generates a code of length 81 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+113x^66+154x^67+293x^68+454x^69+697x^70+726x^71+858x^72+1012x^73+1152x^74+1342x^75+1462x^76+1678x^77+1718x^78+1776x^79+1908x^80+1984x^81+1903x^82+1864x^83+1771x^84+1806x^85+1429x^86+1318x^87+1175x^88+1000x^89+856x^90+702x^91+562x^92+350x^93+286x^94+164x^95+143x^96+36x^97+32x^98+18x^99+16x^100+5x^102+3x^104+1x^134 The gray image is a code over GF(2) with n=162, k=15 and d=66. This code was found by Heurico 1.10 in 148 seconds.