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 X 1 1 X 1 1 1 1 1 1 1 1 1 X 0 1 2 1 1 X 1 1 1 X X 1 1 0 1 1 2 1 1 2 1 1 2 1 2 0 1 X 1 1 1 X 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 X+2 X 2 2 X+2 X 0 2 0 X X X+2 0 2 X+2 X X X+2 X 0 X 0 0 0 X+2 X+2 2 0 X+2 0 X X+2 2 X+2 X 2 X+2 0 X+2 2 0 2 2 X 2 0 X 2 0 2 2 X X X+2 2 0 X+2 0 2 X+2 X X 0 0 0 X 0 0 0 X X+2 X+2 X X 2 X+2 X 0 2 0 2 X 0 X 0 2 2 X+2 X 2 X 0 X X+2 X 0 X+2 X+2 X+2 0 2 X 2 X+2 0 X X 0 0 X+2 X+2 X+2 X+2 X+2 X 0 2 0 X+2 X 0 X X+2 0 X X X+2 X+2 2 2 2 X X 0 2 X 2 0 X+2 0 X+2 X X+2 X+2 X 0 0 0 X 0 X X X 0 2 0 X X+2 X X X+2 2 2 0 2 X+2 X 0 X 0 X X+2 2 2 X+2 0 X+2 2 0 2 2 2 0 X+2 X+2 X+2 X+2 0 X+2 X 0 X+2 X+2 2 0 0 X 0 X+2 0 2 X 2 0 X+2 X+2 2 X 2 0 X 2 X 2 X+2 X+2 2 X 0 0 0 X X 2 X+2 0 X+2 0 0 0 0 X X 2 X+2 X 2 X 0 X 2 X+2 2 0 X X+2 2 X+2 0 X X+2 0 0 X+2 0 X 2 X+2 X+2 2 2 X 0 2 X+2 2 0 X X 2 X+2 X+2 X+2 0 0 2 X+2 X+2 X 0 X+2 X 0 X+2 0 0 X+2 0 X+2 2 0 0 X 2 0 X X 2 X+2 X+2 X X X X+2 X X 2 2 X 0 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+66x^73+105x^74+118x^75+219x^76+142x^77+354x^78+140x^79+577x^80+114x^81+668x^82+86x^83+535x^84+78x^85+317x^86+84x^87+135x^88+62x^89+66x^90+62x^91+54x^92+34x^93+21x^94+16x^95+11x^96+14x^97+5x^98+6x^99+3x^100+2x^101+1x^132 The gray image is a code over GF(2) with n=328, k=12 and d=146. This code was found by Heurico 1.16 in 2.23 seconds.