The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 X+2 1 1 1 0 1 1 2 1 1 X+2 1 X 1 1 1 0 1 1 1 1 2 1 X+2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X 0 1 1 1 1 X+2 X 1 0 2 1 0 0 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 X+2 X+1 1 0 0 X+1 1 X+2 3 1 1 0 1 X+2 1 2 X+1 X+2 1 X+1 X 0 X+3 1 3 1 3 1 0 X 2 X+2 0 2 X+2 0 X+2 0 X X 2 2 0 0 0 2 X X 1 1 3 X+1 1 3 1 1 1 1 1 3 1 1 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 2 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+45x^74+54x^75+113x^76+260x^77+135x^78+438x^79+124x^80+542x^81+112x^82+494x^83+139x^84+518x^85+99x^86+494x^87+97x^88+202x^89+96x^90+52x^91+22x^92+14x^93+19x^94+4x^95+6x^96+1x^98+3x^100+2x^102+3x^104+1x^106+3x^108+1x^112+1x^114+1x^118 The gray image is a code over GF(2) with n=332, k=12 and d=148. This code was found by Heurico 1.16 in 1.5 seconds.