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 1 1 1 X^2 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X^2 X 1 1 X X 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 X^2 2 0 X^2+2 X^2 0 0 X^2+2 2 X^2 2 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 0 X^2+2 2 X^2 2 X^2 0 X^2+2 0 X^2+2 X^2 2 0 X^2 2 X^2+2 0 X^2 0 2 X^2 X^2 0 X^2+2 0 X^2+2 X^2 2 X^2 0 2 0 2 X^2+2 X^2+2 2 X^2+2 X^2 X^2+2 X^2 X^2 X^2 X^2+2 X^2 X^2+2 X^2+2 X^2+2 X^2+2 2 2 X^2+2 X^2+2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 2 2 2 generates a code of length 82 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+61x^76+122x^78+185x^80+256x^81+818x^82+256x^83+226x^84+46x^86+21x^88+38x^90+17x^92+1x^152 The gray image is a code over GF(2) with n=656, k=11 and d=304. This code was found by Heurico 1.16 in 0.735 seconds.