Starting from Tabayesco a small northern Lanzarote village near Arrieta, ascend the now rough ground covered in mostly disused water cachment terracing. You pass a wind monitoring mast and on to Cerra Tabayesco (491m), a volcanic rocky outcrop of a summit.
Pick up a dirt track to the north of this and continue NW optionally visiting Pena de la Pequena (499m ) amidst fields of potatoes and onions. The dirt track lead to the LZ-10 and you can walk north on this stopping if you like at the Restaurante Los Helechos. While touristy this air conditioned place is a great refuge from what may have been a hot steep climb. You can indeed find Mojo Sauce (a local Canarian speciality) with Canarian potatoes.
You need to continue in the general direction of the LZ-10 but not on it where it has some extreme hairpin bends. There is a handy footpath that allows you to do this perfectly safely. To descend you could use a derived GPS route from this track or Discovery Walking Guides 1:40,000 map which accurately shows the route. Again. Do not walk down the hairpins of the LZ10 as this is suicidal.
Eventually you comje to the valley east of Tabayesco through which you can return to the start.