Generation of the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ by three involutions

It is proved that the group $SL_6(\mathbb{Z}+i\mathbb{Z})$ is generated by three involutions. Previously, the solution of the problem on the existence of generating triples of involutions two of which commute was completed for the groups $SL_n(\mathbb{Z}+i\mathbb{Z})$ and $PSL_n(\mathbb{Z}+i\mathbb{Z})$ (Math. notes, 115 (2024), no. 3). The question of generating these groups by three involutions remained unresolved only for $SL_6(\mathbb{Z}+i\mathbb{Z})$.