Prime p₀= 2741927138656952471 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2741925737663584837	0 24 52 94 96 150 172 184 222 234 256 310 312 354 382 406	-1400993367634
STPT(10)	2741926012077946427	0 2 24 26 42 44 60 62 84 86	-1126579006044
SPT(16)	2741926401035006333	0 54 74 78 126 206 254 264 350 360 408 488 536 540 560 614	-737621946138
TPT(14)	2741926507417932137	0 2 114 116 120 122 132 134 144 146 240 242 270 272	-631239020334
SPT(16)	2741926649205542551	0 18 46 48 78 90 120 156 172 208 238 250 280 282 310 328	-489451409920
SPT(16)	2741927084699233939	0 22 30 54 70 72 114 118 204 208 250 252 268 292 300 322	-53957718532
STPT(10)	2741927360525249087	0 2 42 44 72 74 102 104 144 146	221868296616
STPT(10)	2741927431754663531	0 2 36 38 78 80 120 122 156 158	293097711060
STPT(10)	2741928171485359817	0 2 30 32 120 122 210 212 240 242	1032828407346
SPT(16)	2741928537753520151	0 12 26 38 60 168 176 180 308 312 320 428 450 462 476 488	1399096567680
SPT(16)	2741928718013012999	0 30 50 72 92 104 120 242 300 422 438 450 470 492 512 542	1579356060528