Prime p₀= 2053831204489274381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: Landjunge
db: batch=80, k=10, 2 64 2 40 2

SPT(16)	2053829932927176533	0 20 78 138 140 246 260 306 338 384 398 504 506 566 624 644	-1271562097848
STPT(10)	2053830117057805517	0 2 30 32 72 74 114 116 144 146	-1087431468864
SPT(16)	2053830351474006367	0 106 126 136 150 210 262 286 360 384 436 496 510 520 540 646	-853015268014
SPT(16)	2053830837762489931	0 82 118 132 160 178 208 220 318 330 360 378 406 420 456 538	-366726784450
STPT(10)	2053830986591077877	0 2 30 32 42 44 54 56 84 86	-217898196504
SPT(16)	2053831175963215249	0 12 72 94 112 138 144 210 352 418 424 450 468 490 550 562	-28526059132
SPT(16)	2053831846112410487	0 2 32 56 74 90 110 156 170 216 236 252 270 294 324 326	641623136106
SPT(16)	2053832031835697017	0 24 46 100 102 106 130 142 204 216 240 244 246 300 322 346	827346422636
SPT(16)	2053832115686923657	0 12 30 40 42 52 130 180 196 246 324 334 336 346 364 376	911197649276
STPT(10)	2053832544159187457	0 2 30 32 42 44 54 56 84 86	1339669913076
SPT(16)	2053832572046243803	0 28 36 58 70 100 126 138 166 178 204 234 246 268 276 304	1367556969422