The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 2 X 1 1 X 1 1 2 1 1 1 X+2 1 1 1 1 0 X+2 1 2 1 1 X+2 1 0 1 1 2 2 X 1 1 X+2 1 X+2 0 1 1 1 1 1 1 X 1 0 1 1 1 X 1 1 1 1 1 1 1 X+2 X+2 0 X 1 1 1 2 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X X+1 1 2 3 1 1 X+2 1 1 0 X+3 1 1 0 X+2 1 3 1 X+1 X+1 1 1 X 1 X 3 1 X 1 X+3 X+3 1 1 1 1 1 1 X+2 1 1 0 3 X+3 2 3 0 X+2 3 1 X+1 X+1 1 1 1 0 X 1 1 2 2 1 1 X 2 X+2 1 X 2 0 0 0 X 0 X+2 0 X+2 2 X X X 2 X+2 0 2 X+2 2 X+2 X 0 X+2 2 0 X 0 X 2 2 0 X+2 0 X+2 0 2 X X X 2 2 X+2 X+2 X+2 X 2 X+2 2 0 X+2 2 X+2 X+2 0 X X X X+2 X+2 2 X X X 2 X+2 2 2 2 X 2 2 X+2 X 2 X+2 X 2 X 2 X 2 X X X 0 0 0 2 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 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+49x^74+146x^75+244x^76+248x^77+304x^78+338x^79+303x^80+360x^81+291x^82+306x^83+305x^84+278x^85+320x^86+196x^87+136x^88+104x^89+47x^90+34x^91+17x^92+24x^93+6x^94+2x^95+8x^96+8x^97+3x^98+2x^99+9x^100+2x^101+2x^102+2x^106+1x^108 The gray image is a code over GF(2) with n=328, k=12 and d=148. This code was found by Heurico 1.16 in 1.5 seconds.