Prime p₀= 2591866838391166619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

STPT(10)	2591865985840602827	0 2 42 44 72 74 102 104 144 146	-852550563792
STPT(10)	2591866359360910547	0 2 24 26 42 44 60 62 84 86	-479030256072
SPT(16)	2591866491745761119	0 2 24 32 68 114 140 170 192 222 248 294 330 338 360 362	-346645405500
SPT(16)	2591866529071170917	0 12 14 20 54 74 140 146 150 156 222 242 276 282 284 296	-309319995702
SPT(16)	2591866625792187529	0 42 60 88 130 142 162 168 214 220 240 252 294 322 340 382	-212598979090
SPT(16)	2591866667013639997	0 46 64 102 112 120 156 172 174 190 226 234 244 282 300 346	-171377526622
SPT(16)	2591866844386334833	0 24 48 54 120 156 180 198 216 234 258 294 360 366 390 414	5995168214
STPT(10)	2591866972753529291	0 2 168 170 198 200 228 230 396 398	134362362672
SPT(16)	2591867481102276791	0 68 78 96 110 120 140 152 186 198 218 228 242 260 270 338	642711110172
TPT(14)	2591867556168223439	0 2 42 44 192 194 198 200 210 212 330 332 390 392	717777056820
SPT(16)	2591867564456403943	0 34 40 58 124 138 156 166 168 178 196 210 276 294 300 334	726065237324