Prime p₀= 1074682527080992829 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: arkiss
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1074680944055727209	0 24 32 42 62 78 84 104 138 158 164 180 200 210 218 242	-1583025265620
SPT(16)	1074681012969853841	0 32 90 102 138 168 180 210 248 278 290 320 356 368 426 458	-1514111138988
SPT(16)	1074681051899793389	0 2 8 32 90 102 150 218 282 350 398 410 468 492 498 500	-1475181199440
TPT(14)	1074681385413601517	0 2 12 14 54 56 114 116 210 212 294 296 312 314	-1141667391312
STPT(10)	1074681584703761987	0 2 30 32 42 44 54 56 84 86	-942377230842
TPT(14)	1074681692876598929	0 2 48 50 132 134 168 170 222 224 288 290 300 302	-834204393900
STPT(10)	1074682542888279341	0 2 30 32 78 80 126 128 156 158	15807286512
SPT(16)	1074682617964397543	0 8 80 90 114 134 138 150 194 206 210 230 254 264 336 344	90883404714
TPT(14)	1074682701126309461	0 2 6 8 60 62 138 140 168 170 216 218 258 260	174045316632
SPT(16)	1074683004876123647	0 6 26 44 50 54 56 60 86 90 92 96 102 120 140 146	477795130818
STPT(10)	1074683027075344871	0 2 30 32 60 62 90 92 120 122	499994352042