Prime p₀= 1292248632624979199 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1292246298839983639	0 18 22 34 70 102 132 172 330 370 400 432 468 480 484 502	-2333784995560
STPT(10)	1292246884745002127	0 2 30 32 42 44 54 56 84 86	-1747879977072
TPT(14)	1292247459931108907	0 2 90 92 114 116 132 134 144 146 174 176 210 212	-1172693870292
SPT(16)	1292247654768729779	0 54 60 98 128 150 162 168 194 200 212 234 264 302 308 362	-977856249420
SPT(16)	1292247825072971023	0 54 70 76 96 118 148 174 280 306 336 358 378 384 400 454	-807552008176
STPT(10)	1292248176016183817	0 2 30 32 72 74 114 116 144 146	-456608795382
SPT(16)	1292248787593232647	0 52 54 70 112 120 124 132 142 150 154 162 204 220 222 274	154968253448
STPT(10)	1292249508197593241	0 2 6 8 18 20 30 32 36 38	875572614042
SPT(16)	1292249906993352341	0 60 68 80 86 102 128 152 156 180 206 222 228 240 248 308	1274368373142
STPT(10)	1292249941360236317	0 2 30 32 42 44 54 56 84 86	1308735257118
STPT(10)	1292250025058227601	0 2 36 38 78 80 120 122 156 158	1392433248402