Prime p₀= 2853792682359596567 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

SPT(16)	2853791001892201853	0 6 20 30 48 56 96 126 128 158 198 206 224 234 248 254	-1680467394714
STPT(10)	2853791070842150609	0 2 18 20 30 32 42 44 60 62	-1611517445958
SPT(16)	2853791166576069649	0 12 18 88 100 124 144 154 198 208 228 252 264 334 340 352	-1515783526918
SPT(16)	2853791428813161871	0 46 100 112 118 136 156 160 168 172 192 210 216 228 282 328	-1253546434696
STPT(10)	2853791920378559129	0 2 12 14 30 32 48 50 60 62	-761981037438
STPT(10)	2853792391254330311	0 2 36 38 78 80 120 122 156 158	-291105266256
STPT(10)	2853792973960916369	0 2 48 50 90 92 132 134 180 182	291601319802
TPT(14)	2853794006158180901	0 2 60 62 156 158 390 392 420 422 426 428 606 608	1323798584334
STPT(10)	2853794546435346341	0 2 36 38 78 80 120 122 156 158	1864075749774
SPT(16)	2853794848355733211	0 10 40 46 90 96 102 142 210 250 256 262 306 312 342 352	2165996136644
STPT(10)	2853794995984676801	0 2 30 32 78 80 126 128 156 158	2313625080234