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Adapting a method recently proposed by C. Marboe and D. Volin for ${\calN}$=4 super-Yang-Mills, we develop an algorithm for a systematic weak couplingexpansion of the spectrum of anomalous dimensions in the $sl(2)$-like sector ofplanar $\mathcal{N}$=6 super-Chern-Simons. The method relies on the QuantumSpectral Curve formulation of the problem and the expansion is written in termsof the interpolating function $h(\lambda)$, with coefficients expressible ascombinations of Euler-Zagier sums with alternating signs. We present explicitresults up to 12 loops (six nontrivial orders) for various twist L=1 and L=2operators, corresponding to triple and double wrapping terms, respectively,which are beyond the reach of the Asymptotic Bethe Ansatz as well asL\"uscher's corrections. The algorithm works for generic values of L and S andin principle can be used to compute arbitrary orders of the weak couplingexpansion. For the simplest operator with L=1 and spin S=1, the Pad\'eextrapolation of the 12-loop result nicely agrees with the availableThermodynamic Bethe Ansatz data in a relatively wide range of values of thecoupling. A Mathematica notebook with a selection of results is attached.

12 loops and triple wrapping in ABJM theory from integrability