  We present a study of unusually bright single pulses (BSPs) from a
millisecond pulsar in an ablating binary system, B1744-24A, based on several
multi-orbit observations with the Green Bank Telescope. These pulses come
predominantly in time near eclipse ingress and egress, have intensities up to
40 times the average pulse intensity, and pulse widths similar to that of the
average pulse profile. The average intensity, spectral index of radio emission,
and the dispersion measure do not vary in connection with BSP outbursts. The
average profile obtained from BSPs has the same shape as the average profile
from all pulses. These properties make it difficult to explain BSPs via
scintillation in the interstellar medium, as a separate emission mode, or as
conventional giant pulses. BSPs from B1744-24A have similar properties to the
strong pulses observed from the Black Widow binary pulsar B1957+10, which were
recently attributed to strong lensing by the intrabinary material (Main et al.
2018). We argue that the strong lensing likely occurs in B1744-24A as well. For
this system, the sizes and locations of the lenses are not well constrained by
simple 1D lensing models from Cordes et al. (2017) and Main et al. (2018). This
partly stems from the poor knowledge of several important physical parameters
of the system.
