Prime p₀= 1465132732090010957 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: JonS
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1465130652163123961	0 2 36 38 78 80 120 122 156 158	-2079926886996
SPT(16)	1465131193288606061	0 18 32 60 168 182 218 236 252 270 306 320 428 456 470 488	-1538801404896
STPT(10)	1465131330464046407	0 2 30 32 42 44 54 56 84 86	-1401625964550
SPT(16)	1465132315236696559	0 34 118 148 150 160 234 244 264 274 348 358 360 390 474 508	-416853314398
SPT(16)	1465132335834840581	0 18 72 96 98 102 146 152 186 192 236 240 242 266 320 338	-396255170376
SPT(16)	1465132629898734733	0 70 76 94 124 150 154 166 354 366 370 396 426 444 450 520	-102191276224
TPT(16)	1465132748481625631	0 2 18 20 48 50 78 80 258 260 300 302 336 338 378 380	16391614674
TPT(14)	1465132796319625709	0 2 48 50 78 80 90 92 210 212 300 302 330 332	64229614752
STPT(10)	1465132947866355587	0 2 30 32 42 44 54 56 84 86	215776344630
SPT(16)	1465133181791951977	0 34 42 64 120 132 142 180 226 264 274 286 342 364 372 406	449701941020
TPT(14)	1465133632572981491	0 2 30 32 180 182 246 248 288 290 330 332 366 368	900482970534