The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 1 0 2 1 1 0 2 1 2 1 0 1 1 2 2 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 2 2 0 1 2 0 1 1 1 1 1 0 1 1 1 1 2 1 1 0 2 1 0 1 2 2 0 2 2 1 1 2 1 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 2 1 3 1 3 1 1 3 1 1 1 1 1 1 3 1 1 3 1 0 1 3 3 3 1 2 2 1 1 1 0 3 1 1 0 2 1 1 0 1 3 1 3 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 3 3 1 1 1 1 1 2 1 2 3 1 1 1 1 3 1 2 1 1 1 0 2 0 3 0 3 2 1 1 2 3 2 1 1 3 1 1 2 1 0 2 3 0 1 3 2 2 2 3 2 2 2 2 0 1 2 2 3 2 1 2 2 2 0 0 3 2 0 0 0 0 1 0 0 0 0 0 0 0 3 1 1 0 1 3 1 2 1 2 3 0 1 3 0 2 1 2 3 3 1 3 3 2 3 0 0 1 2 1 0 0 0 0 2 1 2 2 3 2 1 2 3 1 1 0 2 0 2 1 0 2 3 2 0 1 0 1 0 2 2 0 1 0 1 3 3 2 1 3 1 1 0 0 0 0 1 0 0 2 1 3 1 1 1 2 1 2 1 2 2 3 1 2 1 3 1 1 2 2 2 3 2 1 3 1 2 3 2 1 1 0 3 0 2 0 1 2 3 0 3 3 1 1 1 2 2 2 0 1 0 1 0 3 0 1 2 3 2 0 2 2 1 2 1 2 2 0 1 1 3 3 0 2 0 0 0 0 0 0 1 0 3 1 2 3 0 1 1 0 0 0 3 3 3 1 0 3 3 2 0 0 1 3 3 2 1 1 2 1 1 2 1 3 1 3 0 1 1 1 3 0 2 0 2 3 3 2 2 3 0 0 2 2 2 2 2 3 3 2 2 2 2 0 0 2 3 2 1 0 1 3 0 1 0 2 3 2 0 0 0 0 0 0 1 1 2 3 3 0 1 1 0 0 0 3 1 1 3 3 0 0 3 1 1 2 2 2 3 0 1 3 0 1 2 1 2 3 3 3 0 1 3 2 3 1 2 1 0 2 3 1 1 0 2 2 0 0 1 3 0 3 1 0 2 1 3 1 2 0 0 0 3 2 3 2 1 3 1 1 1 generates a code of length 83 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+288x^70+715x^72+932x^74+1297x^76+1474x^78+1710x^80+1776x^82+1825x^84+1736x^86+1564x^88+1224x^90+865x^92+516x^94+287x^96+106x^98+52x^100+10x^102+3x^104+2x^106+1x^132 The gray image is a code over GF(2) with n=166, k=14 and d=70. This code was found by Heurico 1.16 in 98.9 seconds.