Prime p₀= 2312326970692458701 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2312325128068280417	0 2 30 32 120 122 210 212 240 242	-1842624178284
STPT(10)	2312325236166031451	0 2 30 32 78 80 126 128 156 158	-1734526427250
STPT(10)	2312325421990247759	0 2 18 20 30 32 42 44 60 62	-1548702210942
SPT(16)	2312325946079384731	0 18 30 40 42 90 96 118 150 172 178 226 228 238 250 268	-1024613073970
SPT(16)	2312326240530141919	0 4 40 42 48 130 168 174 178 184 222 304 310 312 348 352	-730162316782
SPT(13)	2312326362375753533	0 18 24 54 60 78 144 210 228 234 264 270 288	-608316705168
SPT(16)	2312327399979323989	0 12 22 34 94 108 138 174 238 274 304 318 378 390 400 412	429286865288
SPT(16)	2312327714025185903	0 30 116 158 168 204 216 228 296 308 320 356 366 408 494 524	743332727202
SPT(16)	2312328177166163017	0 36 52 64 66 124 136 154 162 180 192 250 252 264 280 316	1206473704316
SPT(16)	2312328271773509753	0 14 26 74 114 126 140 156 164 180 194 206 246 294 306 320	1301081051052
SPT(16)	2312328429527499491	0 56 92 122 140 168 210 248 300 338 380 408 426 456 492 548	1458835040790