Prime p₀= 2497613371053407597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

STPT(10)	2497611999716204807	0 2 42 44 72 74 102 104 144 146	-1371337202790
SPT(16)	2497612174170555187	0 16 40 54 72 84 96 100 126 130 142 154 172 186 210 226	-1196882852410
SPT(16)	2497612221054151031	0 18 78 80 168 186 188 230 246 288 290 308 396 398 458 476	-1149999256566
STPT(10)	2497612414161085841	0 2 6 8 48 50 90 92 96 98	-956892321756
SPT(16)	2497612537783312841	0 8 20 26 38 50 56 62 126 132 138 150 162 168 180 188	-833270094756
STPT(10)	2497612748989503329	0 2 30 32 60 62 90 92 120 122	-622063904268
SPT(16)	2497613752291370003	0 14 48 194 200 260 264 300 308 344 348 408 414 560 594 608	381237962406
SPT(16)	2497613755186672271	0 30 32 116 120 128 156 158 270 272 300 308 312 396 398 428	384133264674
TPT(14)	2497613858949694871	0 2 36 38 66 68 78 80 126 128 150 152 198 200	487896287274
STPT(10)	2497613880736710551	0 2 6 8 48 50 90 92 96 98	509683302954
SPT(16)	2497614774128603849	0 2 14 62 84 128 150 174 188 212 234 278 300 348 360 362	1403075196252