  Constructions of Hadamard matrices from smaller blocks is a well-known
technique in the theory of real Hadamard matrices: tensoring Hadamard matrices
and the classical arrays of Williamson, Ito are all procedures involving
smaller order building blocks. We apply a new block-construction for order 6 to
obtain a previously unknown 2-dimensional family of complex Hadamard matrices.
Our results extend the families D_6(t) and B_6(t) found by various authors
recently. As a direct application the existence of a 2-parameter family of
MUB-triplets of order 6 is shown.
