Prime p₀= 3027587668598962949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: eclipse99
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3027585932044124401	0 16 60 82 90 96 100 112 186 198 202 208 216 238 282 298	-1736554838548
STPT(10)	3027586170005003879	0 2 18 20 30 32 42 44 60 62	-1498593959070
SPT(16)	3027586188862966307	0 30 54 66 80 110 114 120 170 176 180 210 224 236 260 290	-1479735996642
STPT(12)	3027586222386213869	0 2 12 14 42 44 78 80 108 110 120 122	-1446212749080
SPT(16)	3027587048338876693	0 46 76 88 108 258 274 286 288 300 316 466 486 498 528 574	-620260086256
SPT(16)	3027587355781235869	0 4 34 42 48 88 90 100 102 112 114 154 160 168 198 202	-312817727080
STPT(10)	3027587805876713879	0 2 48 50 60 62 72 74 120 122	137277750930
SPT(16)	3027588302908612489	0 18 30 60 70 88 138 268 270 400 450 468 478 508 520 538	634309649540
SPT(16)	3027588326687572001	0 2 26 60 68 110 158 182 186 210 258 300 308 342 366 368	658088609052
SPT(16)	3027588443972615353	0 6 36 48 76 78 88 120 136 168 178 180 208 220 250 256	775373652404
TPT(14)	3027588548783376629	0 2 30 32 42 44 60 62 162 164 198 200 210 212	880184413680