Prime p₀= 1465057791023915909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Spectrum
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1465057252411837969	0 112 114 120 162 174 180 192 250 262 268 280 322 328 330 442	-538612077940
STPT(10)	1465057257989398859	0 2 30 32 60 62 90 92 120 122	-533034517050
SPT(16)	1465057310853883921	0 6 40 100 196 198 202 220 258 276 280 282 378 438 472 478	-480170031988
SPT(16)	1465057322243306929	0 22 34 42 48 64 78 102 130 154 168 184 190 198 210 232	-468780608980
SPT(16)	1465057354683616171	0 18 46 48 88 100 150 210 286 346 396 408 448 450 478 496	-436340299738
SPT(16)	1465057542786896497	0 60 64 82 90 112 124 154 222 252 264 286 294 312 316 376	-248237019412
STPT(10)	1465058372097898547	0 2 30 32 72 74 114 116 144 146	581073982638
SPT(16)	1465058386238350807	0 16 22 30 96 112 120 124 222 226 234 250 316 324 330 346	595214434898
TPT(14)	1465058720645700161	0 2 18 20 48 50 78 80 90 92 126 128 156 158	929621784252
SPT(16)	1465059068261113763	0 8 20 36 104 126 138 144 170 176 188 210 278 294 306 314	1277237197854
STPT(10)	1465059625126899407	0 2 12 14 72 74 132 134 144 146	1834102983498