  Let $G= SL_{n+1}$ be defined over an algebraically closed field of
characteristic $p > 2$. For each $n \geq 1$ there exists a singular block in
the category of $G_1$-modules which contains precisely $n+1$ irreducible
modules. We are interested in the lift of this block to the category of
$G_1T$-modules. Imposing only mild assumptions on $p$, we will perform a number
of calculations in this setting, including a complete determination of the
Loewy series for the baby Verma modules and all possible extensions between the
irreducible modules. In the case where $p$ is extremely large, we will also
explicitly compute the Loewy series for the indecomposable projective modules.
