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 0 X 1 X 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 X 1 2 1 X 0 1 2 1 X 1 0 1 1 1 1 2 X 0 2 2 X 1 X 1 X 2 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 0 2 X 2 2 X X 0 2 0 X X+2 X+2 X+2 2 0 0 X 2 X 0 X+2 X+2 X 2 X X+2 X X 2 X X+2 X 2 X X 0 X+2 X+2 0 X X X X X 2 X X 0 X 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 2 X+2 0 X X 0 X X X+2 X 0 X X+2 X X+2 X+2 2 X 0 2 2 0 X+2 0 2 2 X+2 2 X+2 0 X+2 2 2 0 X X 2 0 0 X X+2 0 X 2 0 X X+2 X 2 0 0 X+2 X+2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 0 0 2 2 0 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+171x^74+8x^75+243x^76+60x^77+334x^78+128x^79+400x^80+200x^81+409x^82+240x^83+493x^84+192x^85+390x^86+128x^87+248x^88+56x^89+146x^90+8x^91+105x^92+4x^93+66x^94+31x^96+17x^98+13x^100+2x^102+1x^106+1x^108+1x^124 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 90.3 seconds.