Prime p₀= 2121796766898396317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2121796011639480331	0 36 42 82 88 96 150 198 220 268 322 330 336 376 382 418	-755258915986
SPT(16)	2121796314566954371	0 16 36 48 112 196 240 262 306 328 372 456 520 532 552 568	-452331441946
SPT(16)	2121796616071723021	0 36 58 60 78 88 90 172 186 268 270 280 298 300 322 358	-150826673296
SPT(18)	2121796662790336331	0 18 30 66 98 108 122 126 182 186 242 246 260 270 302 338 350 368	-104108059986
SPT(16)	2121796690487461499	0 78 98 108 128 140 144 150 212 218 222 234 254 264 284 362	-76410934818
SPT(16)	2121796698200502871	0 10 18 22 28 48 70 78 142 150 172 192 198 202 210 220	-68697893446
SPT(16)	2121796875093386441	0 32 90 96 158 222 242 266 282 306 326 390 452 458 516 548	108194990124
SPT(16)	2121796999381509067	0 46 52 76 90 106 150 190 216 256 300 316 330 354 360 406	232483112750
SPT(16)	2121797042328765229	0 30 64 88 112 120 130 138 154 162 172 180 204 228 262 292	275430368912
SPT(16)	2121797203695390569	0 18 38 74 80 84 98 110 138 150 164 168 174 210 230 248	436796994252
STPT(10)	2121798816591117401	0 2 36 38 108 110 180 182 216 218	2049692721084