Dear delandmo,
Thank you very much for replying. Indeed, I have checked Reppenhagen's description of M. albata var. longispina, and it would fit the description. This, along with the answer by Jonatahan, would indicate to me that the K 260 number seems to be correct, but that the name added to it is probably not. Does anyone know the locality of K 260? Reppenhagen in his book lists the locality of M. albata var. longispina as Buenavista/San Rafael, SLP (Die Gattung Mammillaria, 1992, vol. 2, page 557).
Many thanks and kind regards!