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 X^2 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 X X X 1 1 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 X^2 2 2 X^2+2 X^2 0 2 X^2+2 X^2 0 0 X^2+2 X^2+2 2 2 X^2 2 X^2 0 X^2+2 X^2 0 X^2 2 X^2+2 0 X^2 0 2 2 X^2+2 X^2+2 X^2+2 0 0 2 X^2 X^2 2 X^2 X^2 0 0 2 0 X^2 X^2 2 2 2 0 X^2 X^2 X^2+2 0 2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 0 2 0 2 0 0 0 generates a code of length 80 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+64x^74+117x^76+189x^78+1212x^80+256x^81+93x^82+36x^84+31x^86+23x^88+7x^90+18x^92+1x^148 The gray image is a code over GF(2) with n=640, k=11 and d=296. This code was found by Heurico 1.16 in 6.58 seconds.