Prime p₀= 2159203016100979307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: rlacr
db: batch=81, k=10, 2 40 2 88 2

SPT(16)	2159202697628089189	0 40 70 94 102 118 138 174 178 214 234 250 258 282 312 352	-318472890118
SPT(16)	2159202748427600069	0 24 38 54 74 80 102 120 122 140 162 168 188 204 218 242	-267673379238
SPT(16)	2159202814490888773	0 6 18 28 34 78 84 168 256 340 346 390 396 406 418 424	-201610090534
SPT(16)	2159202832308315641	0 18 78 92 96 212 222 228 260 266 276 392 396 410 470 488	-183792663666
SPT(16)	2159202911659587559	0 12 28 52 82 94 132 142 150 160 198 210 240 264 280 292	-104441391748
SPT(16)	2159202958135850909	0 32 44 60 80 98 102 120 122 140 144 162 182 198 210 242	-57965128398
STPT(10)	2159203080643497149	0 2 18 20 30 32 42 44 60 62	64542517842
STPT(10)	2159203088479689797	0 2 30 32 42 44 54 56 84 86	72378710490
TPT(14)	2159203205882479487	0 2 24 26 42 44 150 152 162 164 222 224 234 236	189781500180
TPT(14)	2159203294374597971	0 2 78 80 108 110 120 122 126 128 216 218 258 260	278273618664
STPT(10)	2159203705514128727	0 2 24 26 42 44 60 62 84 86	689413149420