Prime p₀= 2406682788082479017 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: JohnMD
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2406681670375158269	0 74 114 122 144 158 200 228 254 282 324 338 360 368 408 482	-1117707320748
STPT(10)	2406682174228327319	0 2 18 20 30 32 42 44 60 62	-613854151698
SPT(16)	2406682405215964033	0 4 16 54 60 70 100 196 198 294 324 334 340 378 390 394	-382866514984
TPT(14)	2406682468864170137	0 2 42 44 60 62 90 92 132 134 144 146 222 224	-319218308880
STPT(10)	2406682500469533887	0 2 30 32 42 44 54 56 84 86	-287612945130
STPT(10)	2406682533242417501	0 2 30 32 78 80 126 128 156 158	-254840061516
SPT(16)	2406683044398061619	0 38 60 80 84 144 152 182 210 240 248 308 312 332 354 392	256315582602
SPT(16)	2406683068046039053	0 10 18 24 36 66 94 96 118 120 148 178 190 196 204 214	279963560036
STPT(12)	2406683228102436299	0 2 30 32 42 44 78 80 90 92 120 122	440019957282
SPT(16)	2406683655799194547	0 6 24 34 76 94 130 196 234 300 336 354 396 406 424 430	867716715530
SPT(16)	2406683724403914023	0 54 56 78 80 96 110 144 200 234 248 264 266 288 290 344	936321435006