Try something like this:
y = linspace(0,50,50); % Create Data
v = 1:14; % Number Of Curves
x = sin(v(:)*y*2*pi) + 2*v(:); % Create Data
cm = colormap(jet(numel(v))); % Define Color Map
figure
hold on
for k = 1:numel(v)
plot(x(k,:), y, 'Color',cm(k,:)) % Plot Each Vector According To The Colours In ‘cm’
end
hold off
The colours will not repeat unless you want them to do so. You can use any colormap you want, or you can create your own.