Prime p₀= 2302372572114337319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 40 2 76 2

TPT(14)	2302370294404679699	0 2 90 92 180 182 198 200 222 224 300 302 342 344	-2277709657620
SPT(16)	2302371074232691271	0 50 108 116 146 192 218 242 276 300 326 372 402 410 468 518	-1497881646048
SPT(16)	2302371102062014693	0 6 28 48 64 78 84 90 154 160 166 180 196 216 238 244	-1470052322626
SPT(16)	2302372041892941871	0 12 30 46 72 150 178 198 250 270 298 376 402 418 436 448	-530221395448
SPT(16)	2302372285476831383	0 8 18 48 56 98 126 140 246 260 288 330 338 368 378 386	-286637505936
SPT(18)	2302372447927740899	0 44 50 68 72 84 90 102 120 152 170 182 188 200 204 222 228 272	-124186596420
STPT(10)	2302372952395976489	0 2 42 44 120 122 198 200 240 242	380281639170
SPT(18)	2302372995938577817	0 34 66 94 162 190 192 204 216 430 442 454 456 484 552 580 612 646	423824240498
STPT(10)	2302373500686557411	0 2 36 38 78 80 120 122 156 158	928572220092
SPT(16)	2302374033060490801	0 16 58 60 96 150 172 208 240 276 298 352 388 390 432 448	1460946153482
SPT(20)	2302374521228319679	0 10 114 120 124 150 154 168 204 228 274 298 334 348 352 378 382 388 492 502	1949113982360