Prime p₀= 2362406749733756021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2362405556095695967	0 16 42 114 126 142 150 156 220 226 234 250 262 334 360 376	-1193638060054
SPT(16)	2362405556967437941	0 12 16 40 58 72 82 88 150 156 166 180 198 222 226 238	-1192766318080
SPT(16)	2362405877274477809	0 14 42 68 78 144 152 222 230 300 308 374 384 410 438 452	-872459278212
SPT(16)	2362405911487869937	0 6 34 46 82 84 112 130 156 174 202 204 240 252 280 286	-838245886084
SPT(16)	2362406553176372753	0 8 56 74 134 140 144 186 218 260 264 270 330 348 396 404	-196557383268
SPT(16)	2362406690883888263	0 18 24 30 86 90 116 150 164 198 224 228 284 290 296 314	-58849867758
STPT(10)	2362407028295134367	0 2 30 32 42 44 54 56 84 86	278561378346
STPT(10)	2362407330364757231	0 2 6 8 48 50 90 92 96 98	580631001210
SPT(16)	2362407409975450417	0 4 6 10 34 144 172 250 306 384 412 522 546 550 552 556	660241694396
TPT(14)	2362407434474804219	0 2 18 20 138 140 180 182 312 314 348 350 360 362	684741048198
STPT(10)	2362407857967413027	0 2 72 74 102 104 132 134 204 206	1108233657006