With the purpose to investigate the radio emission of new ultracool objects, we carried out a targeted search in the recently discovered system VHS J125601.92$-$125723.9 (hereafter VHS 1256$-$1257); this system is composed by an equal-mass M7.5 binary and a L7 low-mass substellar object located at only 15.8,pc. We observed in phase-reference mode the system VHS 1256$-$1257 with the Karl G. Jansky Very Large Array at $X$- and $L$- band and with the European VLBI Network at $L$-band in several epochs during 2015 and 2016. We discovered radio emission at $X$-band spatially coincident with the equal-mass M7.5 binary with a flux density of 60 $mu$Jy. We determined a spectral index $alpha = -1.1 pm 0.3$ between 8 and 12 GHz, suggesting that non-thermal, optically-thin, synchrotron or gyrosynchrotron radiation is responsible for the observed radio emission. Interestingly, no signal is seen at $L$-band where we set a 3-$sigma$ upper limit of 20 $mu$Jy. This might be explained by strong variability of the binary or self-absorption at this frequency. By adopting the latter scenario and gyrosynchrotron radiation, we constrain the turnover frequency to be in the interval 5--8.5 GHz, from which we infer the presence of kG-intense magnetic fields in the M7.5 binary. Our data impose a 3-$sigma$ upper bound to the radio flux density of the L7 object of 9 $mu$Jy at 10,GHz.