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 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 X X 1 1 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+27x^74+38x^76+47x^78+99x^80+629x^82+78x^84+40x^86+28x^88+15x^90+11x^92+9x^94+1x^98+1x^156 The gray image is a code over GF(2) with n=328, k=10 and d=148. This code was found by Heurico 1.16 in 0.428 seconds.