Prime p₀= 2253537857347347497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 10 2 118 2

SPT(16)	2253537145412482393	0 18 34 76 78 100 106 148 156 198 204 226 228 270 286 304	-711934865104
SPT(18)	2253537197857722719	0 12 24 62 104 132 182 200 204 248 252 270 320 348 390 428 440 452	-659489624778
SPT(16)	2253537267379652011	0 18 28 66 102 118 226 258 280 312 420 436 472 510 520 538	-589967695486
SPT(16)	2253537401140145459	0 30 84 164 212 240 252 264 290 302 314 342 390 470 524 554	-456207202038
STPT(10)	2253537504098513987	0 2 54 56 72 74 90 92 144 146	-353248833510
SPT(16)	2253537528928617473	0 50 86 114 126 168 224 234 320 330 386 428 440 468 504 554	-328418730024
STPT(10)	2253538450199170787	0 2 42 44 72 74 102 104 144 146	592851823290
SPT(16)	2253538592565951293	0 26 44 110 140 176 198 240 374 416 438 474 504 570 588 614	735218603796
SPT(13)	2253538627207743277	0 6 24 30 36 84 120 156 204 210 216 234 240	769860395780
SPT(16)	2253538822070935561	0 22 42 66 70 120 162 172 210 220 262 312 316 340 360 382	964723588064
SPT(16)	2253539065415889677	0 24 32 56 60 110 126 144 152 170 186 236 240 264 272 296	1208068542180