Prime p₀= 2598633798664168589 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2598632874189535357	0 10 12 42 52 66 82 96 100 114 130 144 154 184 186 196	-924474633232
SPT(16)	2598633124098235117	0 54 60 76 90 106 112 126 130 144 150 166 180 196 202 256	-674565933472
STPT(10)	2598633181440372617	0 2 30 32 72 74 114 116 144 146	-617223795972
STPT(10)	2598633319963704641	0 2 36 38 78 80 120 122 156 158	-478700463948
SPT(16)	2598633340846384241	0 12 26 32 60 156 210 218 270 278 332 428 456 462 476 488	-457817784348
SPT(16)	2598633399248747353	0 10 64 120 124 160 180 250 318 388 408 444 448 504 558 568	-399415421236
SPT(16)	2598634322409850997	0 2 32 84 86 90 104 116 240 252 266 270 272 324 354 356	523745682408
STPT(10)	2598634413890872517	0 2 30 32 42 44 54 56 84 86	615226703928
STPT(10)	2598634683909936311	0 2 6 8 48 50 90 92 96 98	885245767722
STPT(10)	2598634724254048679	0 2 12 14 90 92 168 170 180 182	925589880090
TPT(14)	2598635111348978927	0 2 30 32 42 44 120 122 294 296 372 374 414 416	1312684810338