New series of $5$-configurations

We consider $5$-configurations defined by their incident matrices over the field $\text{GF}(2)$, which must be nonsingular and contain exactly $5$ units in each row and each column, and the inverse matrix must also have this property. The relation between $5$-configurations of the $\mathcal{B}$ series and the $5$-configurations obtained by Abelian groups is indicated. A new series of $5$-configurations is presented. It is proved that this serie is not combinatorially equivalent to the previously known series of $5$-configurations. The diffusion characteristics of the incident matrix of $5$-configurations from the considered series are calculated.