Prime p₀= 2375259243649371851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2375257757746184459	0 2 24 38 54 78 128 168 194 234 284 308 324 338 360 362	-1485903187392
SPT(16)	2375257833326094671	0 6 36 48 56 96 110 140 168 198 212 252 260 272 302 308	-1410323277180
STPT(10)	2375258422308938987	0 2 60 62 72 74 84 86 144 146	-821340432864
SPT(16)	2375258564757993133	0 16 24 58 70 114 120 136 258 274 280 324 336 370 378 394	-678891378718
SPT(16)	2375258762684126723	0 50 54 66 98 110 138 140 174 176 204 216 248 260 264 314	-480965245128
TPT(14)	2375258918496563039	0 2 42 44 120 122 132 134 210 212 222 224 288 290	-325152808812
TPT(14)	2375259628567612091	0 2 30 32 48 50 60 62 90 92 186 188 216 218	384918240240
STPT(10)	2375259943161887141	0 2 6 8 48 50 90 92 96 98	699512515290
TPT(14)	2375260017043363859	0 2 48 50 162 164 258 260 288 290 342 344 402 404	773393992008
SPT(16)	2375260312910207147	0 50 144 152 162 174 182 242 294 354 362 374 384 392 486 536	1069260835296
STPT(10)	2375260527549904661	0 2 6 8 18 20 30 32 36 38	1283900532810