The present invention provides a peptide of formula (I) or a pharmaceutical salt thereof wherein "m", "n", "p", and "q" represent integers and are selected from 0 and 1; and "r" is comprised from 1 to 10; a linker birradical of formula (II), which is connecting an alpha carbon atom of an amino acid located at position "i" in the peptide sequence of formula (I) with an alpha carbon atom of an amino acid located at position "i+4" or "i+7"in the peptide sequence of formula (I); a C-terminal end corresponding to C(O)R4; and a N-terminal end corresponding to NHR5. Alternatively, the present invention provides a peptide or a pharmaceutical salt thereof which has an amino acid sequence with an identity from 85% to 95% with respect to sequence SEQ ID NO: 9: The peptides of the invention show anticancer activity. (I)