Prime p₀= 2334838924071126479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 178 2 28 2 28 2 178 2 (?)
a_n: 0 2 180 182 210 212 240 242 420 422
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: 422
Found by: Orange Kid
db: batch=81, k=10, 2 178 2 28 2

SPT(16)	2334837331725355733	0 80 96 104 128 134 168 170 174 176 210 216 240 248 264 344	-1592345770746
STPT(10)	2334837406476867959	0 2 18 20 30 32 42 44 60 62	-1517594258520
STPT(10)	2334837682515362639	0 2 18 20 30 32 42 44 60 62	-1241555763840
SPT(16)	2334837866561904989	0 74 102 150 168 180 182 242 270 330 332 344 362 410 438 512	-1057509221490
STPT(10)	2334838328493233987	0 2 54 56 72 74 90 92 144 146	-595577892492
SPT(16)	2334838895454691399	0 48 54 60 82 88 112 114 268 270 294 300 322 328 334 382	-28616435080
SPT(16)	2334838951174646821	0 6 106 112 142 150 220 276 286 342 412 420 450 456 556 562	27103520342
SPT(16)	2334838994032456741	0 40 70 78 88 96 102 126 142 166 172 180 190 198 228 268	69961330262
STPT(10)	2334839103293447627	0 2 30 32 60 62 90 92 120 122	179222321148
STPT(10)	2334839212718899217	0 2 90 92 102 104 114 116 204 206	288647772738
SPT(16)	2334839230960781551	0 10 28 30 52 102 132 160 168 196 226 276 298 300 318 328	306889655072