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This paper investigates the impacts of the different surface energycoefficients on the compound nucleus decay modes during heavy ion fusionreactions, with focus given to the superheavy nuclei (SHN) in the range of$Z=112-118$. The evaporation-residue (ER) cross sections were calculated fordifferent surface asymmetric constants, $k_{s}$ and surface energy constants,$\gamma_{0}$. In these calculations, the di-nuclear system model and proximitypotential, along with considering deformed nuclei, were employed. Comparing theexperimental data and this theoretical approach, the best values of $k_{s}$ and$\gamma_{0}$ are $0.7546$ and $0.9180~\mathrm{MeV~fm^{-2}}$, respectively.Furthermore, this new model was used to investigate the probability ofsynthesis of experimentally unknown heavier systems with $Z=119$ and $120$.There exist five promising combinations to synthesize SHN with $Z=119$: a)${^{249}}\mathrm{Cf}({^{45}}\mathrm{Sc},3n){^{291}}119$, b)${^{249}}\mathrm{Cf}({^{45}}\mathrm{Sc},4n){^{290}}119$, c) ${^{247}}\mathrm{Bk}({^{50}}\mathrm{Ti},3n){^{294}}119$, d)${^{254}}\mathrm{Es}({^{48}}\mathrm{Ca},3n){^{299}}119$, and e)${^{254}}\mathrm{Es}({^{48}}\mathrm{Ca},4n){^{298}}119$. In addition, it isfound that the best combinations to synthesize SHN with $Z=120$ are${^{249}}\mathrm{Cf}({^{50}}\mathrm{Ti},3n){^{296}}120$, and${^{251}}\mathrm{Cf}({^{50}}\mathrm{Ti},3n){^{298}}120$.

Significance of the compound nucleus surface energy coefficients in the synthesis of the superheavy nuclei with $\textbf{Z=112-120}$