The maximal-line conjecture for minimal vectors in dimensions 16, 18, 19 and 20

For a lattice in dimension $n$, consider the equiangular lines produced by its minimal vectors. Minimal-vector line-count conjecture. For $n=16$, $18$, $19$ and $20$, the largest number of such lines is $38$, $56$, $72$ and $90$, respectively. The conjecture concerns dimensions where the preceding table records matching known upper values and lattice constructions; the source gives no resolution beyond those computational comparisons.