It is impossible to use only one kind of weight, so we should use both. First of all, consider the number of 23 grams of weights, set it as X, 5 grams of weights as Y, {then 23x=5y plus or minus 4.

So the mantissa of 23x must be one of 1, 4, 6, 9.

So the mantissa of x must be one of 2, 3, 7 and 8.

Test in turn from small to large

x=2，y= 10

x=3，y= 13

x=7，....}

It can be seen that with the increase of x, the value of y also increases.

Note {} is a train of thought, which may be helpful to your other similar questions, but this question seems unnecessary.

So at least use the weight of 10+2= 12.