Prime p₀= 2497610948370232403 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 20 16 8 70 14 28 2 6 10 26 10 6 2 28 14 70 8 16 20 (?)
a_n: 0 20 36 44 114 128 156 158 164 174 200 210 216 218 246 260 330 338 354 374
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 374
Found by: Penguin
db: batch=82, k=20, 20 16 8 70 14 28 2 6 10 26

SPT(16)	2497608826906958309	0 2 20 42 74 80 84 140 174 230 234 240 272 294 312 314	-2121463274094
STPT(10)	2497609250098708517	0 2 30 32 72 74 114 116 144 146	-1698271523886
SPT(16)	2497609528853154329	0 20 38 78 84 98 104 122 150 168 174 188 194 234 252 272	-1419517078074
STPT(10)	2497610140341150389	0 2 18 20 60 62 102 104 120 122	-808029082014
SPT(16)	2497610719389233599	0 4 30 84 88 138 144 210 268 334 340 390 394 448 474 478	-228980998804
SPT(16)	2497610810268797891	0 12 26 38 50 66 96 122 126 152 182 198 210 222 236 248	-138101434512
SPT(16)	2497610948867602817	0 6 14 54 62 90 96 110 156 170 176 204 212 252 260 266	497370414
STPT(10)	2497611230050357217	0 2 30 32 42 44 54 56 84 86	281680124814
STPT(10)	2497611999716204807	0 2 42 44 72 74 102 104 144 146	1051345972404
SPT(16)	2497612174170555187	0 16 40 54 72 84 96 100 126 130 142 154 172 186 210 226	1225800322784
SPT(16)	2497612221054151031	0 18 78 80 168 186 188 230 246 288 290 308 396 398 458 476	1272683918628