Changing the intensity range of a normalized image

I have an image. I used this command to normalize the image and turned it to grayscale:

normImage = im2double(Image);

graynormImage = rgb2gray(myImage);

The normalized image has intensity values ranging between 0-0.45

I used the stretchlim(graynormImage) command to get this range.

Now my question is if there is some way for me to change this range?

I want the range to be from 0-0.6

Thanks in advance!