Prime p₀= 2040439939097758697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Dingo
db: batch=80, k=10, 2 28 2 40 2

STPT(10)	2040438709039251551	0 2 30 32 60 62 90 92 120 122	-1230058507146
STPT(10)	2040438989590116629	0 2 42 44 90 92 138 140 180 182	-949507642068
SPT(16)	2040439000035827483	0 14 26 66 74 114 198 200 204 206 290 330 338 378 390 404	-939061931214
TPT(14)	2040439010453279099	0 2 102 104 138 140 240 242 318 320 408 410 420 422	-928644479598
STPT(10)	2040439034835221231	0 2 30 32 78 80 126 128 156 158	-904262537466
STPT(10)	2040439344147492551	0 2 6 8 48 50 90 92 96 98	-594950266146
STPT(10)	2040440618596208627	0 2 30 32 42 44 54 56 84 86	679498449930
SPT(16)	2040441142633142167	0 46 52 70 76 90 102 130 156 184 196 210 216 234 240 286	1203535383470
SPT(16)	2040441253464977509	0 12 18 54 70 94 144 150 202 208 258 282 298 334 340 352	1314367218812
SPT(18)	2040441259942657127	0 12 26 90 180 182 204 210 296 300 386 392 414 416 506 570 584 596	1320844898430
STPT(10)	2040441350074465937	0 2 30 32 42 44 54 56 84 86	1410976707240