Prime p₀= 2829627677098468031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2829626610820639037	0 2 42 44 72 74 102 104 144 146	-1066277828994
STPT(10)	2829626885362083419	0 2 18 20 30 32 42 44 60 62	-791736384612
SPT(16)	2829627019239612941	0 6 42 96 126 140 180 182 186 188 228 242 272 326 362 368	-657858855090
STPT(10)	2829627074301190517	0 2 54 56 72 74 90 92 144 146	-602797277514
SPT(16)	2829627214429193291	0 12 32 60 68 80 110 126 152 168 198 210 218 246 266 278	-462669274740
SPT(16)	2829627245018214827	0 32 84 96 102 110 120 140 156 176 186 194 200 212 264 296	-432080253204
SPT(16)	2829627710193547559	0 2 32 60 72 90 104 128 204 228 242 260 272 300 330 332	33095079528
STPT(10)	2829627775332154397	0 2 30 32 42 44 54 56 84 86	98233686366
STPT(10)	2829627817201253597	0 2 12 14 42 44 72 74 84 86	140102785566
SPT(16)	2829627850933390589	0 8 18 32 42 54 98 108 134 144 188 200 210 224 234 242	173834922558
STPT(10)	2829628029723658949	0 2 42 44 60 62 78 80 120 122	352625190918