Prime p₀= 2163477258174216167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2163475426629209807	0 2 72 74 90 92 102 104 114 116 294 296 372 374	-1831545006360
STPT(10)	2163475987571261171	0 2 6 8 48 50 90 92 96 98	-1270602954996
SPT(16)	2163476105083913897	0 12 30 50 56 60 92 102 170 180 212 216 222 242 260 272	-1153090302270
SPT(16)	2163476619127042867	0 40 46 96 114 120 126 156 214 244 250 256 274 324 330 370	-639047173300
SPT(16)	2163476675382462101	0 6 26 30 50 56 68 72 116 120 132 138 158 162 182 188	-582791754066
STPT(10)	2163477055447802837	0 2 12 14 42 44 72 74 84 86	-202726413330
SPT(16)	2163477313838370913	0 6 10 28 60 160 174 204 220 250 264 364 396 414 418 424	55664154746
SPT(16)	2163477482356877231	0 12 18 20 26 48 56 72 86 102 110 132 138 140 146 158	224182661064
SPT(16)	2163477515220220943	0 60 90 126 128 144 156 206 318 368 380 396 398 434 464 524	257046004776
SPT(16)	2163477751635270361	0 40 48 82 88 120 142 156 172 186 208 240 246 280 288 328	493461054194
STPT(10)	2163477765410677229	0 2 42 44 90 92 138 140 180 182	507236461062