Prime p₀= 2326856868328735991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 40 2 40 2 94 2 (?)
a_n: 0 2 96 98 138 140 180 182 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 94 2 40 2

SPT(16)	2326855700155738217	0 6 12 14 50 60 134 176 180 222 296 306 342 344 350 356	-1168172997774
STPT(10)	2326855928949598169	0 2 12 14 30 32 48 50 60 62	-939379137822
SPT(16)	2326856247215779801	0 48 118 132 148 186 222 256 372 406 442 480 496 510 580 628	-621112956190
STPT(10)	2326856343821149331	0 2 36 38 78 80 120 122 156 158	-524507586660
STPT(10)	2326856466520335089	0 2 18 20 30 32 42 44 60 62	-401808400902
SPT(16)	2326856758658462171	0 18 30 50 72 78 102 108 212 218 242 248 270 290 302 320	-109670273820
TPT(14)	2326857536699361689	0 2 48 50 78 80 102 104 270 272 330 332 342 344	668370625698
STPT(10)	2326857977281488479	0 2 12 14 90 92 168 170 180 182	1108952752488
SPT(16)	2326858124329182133	0 30 34 156 166 180 198 208 216 226 244 258 268 390 394 424	1256000446142
SPT(16)	2326858137288866749	0 28 40 52 162 192 208 214 228 234 250 280 390 402 414 442	1268960130758
SPT(16)	2326858353890952421	0 16 18 52 60 70 88 102 196 210 228 238 246 280 282 298	1485562216430