Prime p₀= 3000806969931094991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3000805651655790103	0 46 54 60 76 126 144 154 156 166 184 234 250 256 264 310	-1318275304888
TPT(14)	3000805883084808779	0 2 12 14 30 32 120 122 138 140 168 170 198 200	-1086846286212
STPT(10)	3000805898534746217	0 2 24 26 42 44 60 62 84 86	-1071396348774
SPT(16)	3000806232307937281	0 12 18 60 88 96 100 142 156 198 202 210 238 280 286 298	-737623157710
SPT(16)	3000806402021977433	0 14 24 44 66 80 84 140 180 236 240 254 276 296 306 320	-567909117558
STPT(10)	3000806838125040797	0 2 30 32 72 74 114 116 144 146	-131806054194
SPT(16)	3000807056470228429	0 28 30 112 118 222 228 270 352 394 400 504 510 592 594 622	86539133438
STPT(10)	3000807080912215877	0 2 30 32 42 44 54 56 84 86	110981120886
STPT(10)	3000807251335395389	0 2 18 20 30 32 42 44 60 62	281404300398
STPT(10)	3000807309490701671	0 2 36 38 78 80 120 122 156 158	339559606680
SPT(16)	3000807582823549423	0 16 30 78 126 130 144 190 204 250 264 268 316 364 378 394	612892454432