Prime p₀= 2101634177007329009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Ben
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2101633222653007913	0 20 30 60 74 104 128 156 188 216 240 270 284 314 324 344	-954354321096
SPT(16)	2101633242709781273	0 6 20 50 78 84 98 138 176 216 230 236 264 294 308 314	-934297547736
TPT(14)	2101633275918708041	0 2 30 32 96 98 108 110 180 182 240 242 276 278	-901088620968
STPT(10)	2101633417134459119	0 2 18 20 30 32 42 44 60 62	-759872869890
SPT(16)	2101633874436017371	0 10 42 46 76 88 106 118 120 132 150 162 192 196 228 238	-302571311638
STPT(12)	2101634143672151609	0 2 42 44 48 50 132 134 138 140 180 182	-33335177400
STPT(10)	2101634188037708411	0 2 6 8 48 50 90 92 96 98	11030379402
STPT(10)	2101634425827512099	0 2 18 20 30 32 42 44 60 62	248820183090
STPT(10)	2101634533549643789	0 2 48 50 90 92 132 134 180 182	356542314780
TPT(14)	2101634545985473229	0 2 150 152 162 164 258 260 300 302 330 332 390 392	368978144220
TPT(14)	2101634766721497389	0 2 30 32 90 92 222 224 258 260 282 284 312 314	589714168380