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 2 1 0 1 1 1 1 1 X 0 1 1 2 1 X X 0 1 1 1 2 X 2 X 1 1 X X 1 2 1 X 1 1 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X+2 2 X+2 X 0 2 X 2 X+2 0 X+2 0 2 X X 2 0 X X 0 2 X X+2 0 2 X 0 0 X X+2 X X+2 0 X+2 X 2 X X X 0 0 X+2 2 0 X 0 X 2 X X+2 X X+2 X X 2 X+2 X X+2 2 0 X+2 X X+2 X 0 X X+2 2 2 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 2 X 0 X+2 0 0 2 X+2 X 0 X X 2 0 X+2 X+2 2 0 X X 0 0 X+2 2 X+2 2 X X+2 X+2 0 X 2 X+2 X 2 X 0 X+2 X 0 X X X+2 0 X 0 X 2 0 X+2 0 2 X 2 X+2 2 X+2 X+2 X+2 X+2 2 0 X 0 2 X X 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 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+65x^74+4x^75+174x^76+40x^77+227x^78+84x^79+236x^80+120x^81+242x^82+140x^83+213x^84+88x^85+145x^86+28x^87+93x^88+8x^89+62x^90+37x^92+22x^94+10x^96+3x^98+3x^100+2x^102+1x^132 The gray image is a code over GF(2) with n=328, k=11 and d=148. This code was found by Heurico 1.16 in 0.792 seconds.