Prime p₀= 2250652973716159937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2250650208177740293	0 4 28 78 88 94 96 150 184 238 240 246 256 306 330 334	-2765538419644
TPT(14)	2250651766546684439	0 2 12 14 42 44 78 80 120 122 180 182 240 242	-1207169475498
SPT(16)	2250651863588737949	0 2 42 44 72 74 90 114 200 224 240 242 270 272 312 314	-1110127421988
TPT(14)	2250651976364006351	0 2 6 8 36 38 48 50 78 80 108 110 180 182	-997352153586
STPT(10)	2250652211556036257	0 2 30 32 72 74 114 116 144 146	-762160123680
SPT(16)	2250652697730102929	0 2 20 30 48 50 54 72 110 128 132 134 152 162 180 182	-275986057008
SPT(16)	2250653034961265849	0 78 80 98 104 120 140 180 188 228 248 264 270 288 290 368	61245105912
SPT(20)	2250653513078155961	0 2 6 18 68 98 110 152 168 248 300 380 396 438 450 480 530 542 546 548	539361996024
STPT(10)	2250653556561248789	0 2 18 20 30 32 42 44 60 62	582845088852
STPT(10)	2250653591964458711	0 2 30 32 60 62 90 92 120 122	618248298774
TPT(14)	2250653683946920277	0 2 54 56 60 62 174 176 282 284 354 356 462 464	710230760340