Prime p₀= 1074683728730868437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: rlacr
db: batch=76, k=10, 2 22 2 16 2

TPT(14)	1074682701126309461	0 2 6 8 60 62 138 140 168 170 216 218 258 260	-1027604558976
SPT(16)	1074683004876123647	0 6 26 44 50 54 56 60 86 90 92 96 102 120 140 146	-723854744790
STPT(10)	1074683027075344871	0 2 30 32 60 62 90 92 120 122	-701655523566
SPT(16)	1074683280475610033	0 20 30 114 116 134 140 156 158 174 180 198 200 284 294 314	-448255258404
SPT(16)	1074683459619625543	0 10 28 58 84 90 160 226 228 294 364 370 396 426 444 454	-269111242894
STPT(10)	1074683489868930257	0 2 30 32 42 44 54 56 84 86	-238861938180
STPT(10)	1074683752456757621	0 2 6 8 48 50 90 92 96 98	23725889184
SPT(16)	1074683857406431417	0 4 12 34 52 66 106 112 144 150 190 204 222 244 252 256	128675562980
SPT(16)	1074683925192330487	0 34 52 94 114 132 144 220 444 520 532 550 570 612 630 664	196461462050
SPT(16)	1074684122464945207	0 4 10 36 70 102 202 300 316 414 514 546 580 606 612 616	393734076770
SPT(16)	1074684126565061237	0 14 30 60 122 144 192 246 290 344 392 414 476 506 522 536	397834192800