Prime p₀= 2023800837632141537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: CoolAtchOk
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2023797980407082899	0 12 18 42 78 88 112 208 252 348 372 382 418 442 448 460	-2857225058638
STPT(10)	2023798499314206911	0 2 6 8 18 20 30 32 36 38	-2338317934626
STPT(10)	2023799215214140619	0 2 12 14 90 92 168 170 180 182	-1622418000918
STPT(10)	2023799543781289007	0 2 30 32 42 44 54 56 84 86	-1293850852530
SPT(16)	2023799874051922633	0 16 18 24 34 66 144 150 154 160 238 270 280 286 288 304	-963580218904
SPT(16)	2023800755367183977	0 42 84 140 150 162 192 210 254 272 302 314 324 380 422 464	-82264957560
STPT(10)	2023800839663696789	0 2 48 50 90 92 132 134 180 182	2031555252
SPT(16)	2023800953957363303	0 20 56 74 84 108 144 156 158 170 206 230 240 258 294 314	116325221766
SPT(16)	2023801078457597587	0 40 66 84 180 186 196 214 246 264 274 280 376 394 420 460	240825456050
SPT(16)	2023801245698647501	0 16 42 60 76 106 142 172 216 246 282 312 328 346 372 388	408066505964
STPT(10)	2023801313668711019	0 2 42 44 60 62 78 80 120 122	476036569482