Prime p₀= 2053830986591077877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2053829614225300739	0 2 18 20 60 62 102 104 120 122	-1372365777138
STPT(10)	2053829717053929119	0 2 48 50 90 92 132 134 180 182	-1269537148758
SPT(16)	2053829932927176533	0 20 78 138 140 246 260 306 338 384 398 504 506 566 624 644	-1053663901344
STPT(10)	2053830117057805517	0 2 30 32 72 74 114 116 144 146	-869533272360
SPT(16)	2053830351474006367	0 106 126 136 150 210 262 286 360 384 436 496 510 520 540 646	-635117071510
SPT(16)	2053830837762489931	0 82 118 132 160 178 208 220 318 330 360 378 406 420 456 538	-148828587946
SPT(16)	2053831175963215249	0 12 72 94 112 138 144 210 352 418 424 450 468 490 550 562	189372137372
STPT(10)	2053831204489274381	0 2 66 68 108 110 150 152 216 218	217898196504
SPT(16)	2053831846112410487	0 2 32 56 74 90 110 156 170 216 236 252 270 294 324 326	859521332610
SPT(16)	2053832031835697017	0 24 46 100 102 106 130 142 204 216 240 244 246 300 322 346	1045244619140
SPT(16)	2053832115686923657	0 12 30 40 42 52 130 180 196 246 324 334 336 346 364 376	1129095845780