Prime p₀= 2720757297642079637 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2720756404868983997	0 20 36 74 120 146 162 242 294 374 390 416 462 500 516 536	-892773095640
STPT(10)	2720756604071861879	0 2 18 20 30 32 42 44 60 62	-693570217758
STPT(10)	2720756643454678091	0 2 6 8 48 50 90 92 96 98	-654187401546
TPT(14)	2720756760300652979	0 2 168 170 300 302 330 332 360 362 372 374 402 404	-537341426658
SPT(16)	2720756867187976789	0 82 112 132 154 160 174 184 228 238 252 258 280 300 330 412	-430454102848
SPT(16)	2720757092120614957	0 12 54 112 120 186 222 232 264 274 310 376 384 442 484 496	-205521464680
STPT(10)	2720757309198240239	0 2 48 50 90 92 132 134 180 182	11556160602
STPT(10)	2720757657915359807	0 2 90 92 132 134 174 176 264 266	360273280170
TPT(14)	2720757776736989711	0 2 36 38 66 68 120 122 150 152 336 338 360 362	479094910074
SPT(16)	2720758150834881359	0 2 38 48 132 152 170 180 182 192 210 230 314 324 360 362	853192801722
SPT(16)	2720758224394644767	0 14 32 36 50 92 102 144 152 194 204 246 260 264 282 296	926752565130