Packing Digits

Take the digits 0-9 as seen on a digital clock, and pack them in a grid. (The 6 and 9 use six segments each.)  Each segment of each digit must run vertically or horizontally between two grid points.  Digits may touch and intersect, but each segment may be part of only one digit.  Digits may be rotated, but not reflected.  When finished, draw the smallest rectangle along the gridlines which encloses all the digits.  Try to minimize the area of this rectangle.

Source: Original.

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