Prime p₀= 2829627775332154397 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2829627019239612941	0 6 42 96 126 140 180 182 186 188 228 242 272 326 362 368	-756092541456
STPT(10)	2829627074301190517	0 2 54 56 72 74 90 92 144 146	-701030963880
SPT(16)	2829627214429193291	0 12 32 60 68 80 110 126 152 168 198 210 218 246 266 278	-560902961106
SPT(16)	2829627245018214827	0 32 84 96 102 110 120 140 156 176 186 194 200 212 264 296	-530313939570
STPT(10)	2829627677098468031	0 2 30 32 60 62 90 92 120 122	-98233686366
SPT(16)	2829627710193547559	0 2 32 60 72 90 104 128 204 228 242 260 272 300 330 332	-65138606838
STPT(10)	2829627817201253597	0 2 12 14 42 44 72 74 84 86	41869099200
SPT(16)	2829627850933390589	0 8 18 32 42 54 98 108 134 144 188 200 210 224 234 242	75601236192
STPT(10)	2829628029723658949	0 2 42 44 60 62 78 80 120 122	254391504552
STPT(10)	2829628098100198037	0 2 24 26 42 44 60 62 84 86	322768043640
SPT(16)	2829628504312730741	0 8 62 78 110 126 150 168 200 218 242 258 290 306 360 368	728980576344