Prime p₀= 2356698349091400071 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

STPT(12)	2356696929004271801	0 2 6 8 48 50 78 80 120 122 126 128	-1420087128270
SPT(16)	2356696954455194161	0 12 46 72 76 88 96 118 180 202 210 222 226 252 286 298	-1394636205910
TPT(14)	2356697515809235607	0 2 114 116 192 194 240 242 282 284 402 404 462 464	-833282164464
SPT(16)	2356697738179534693	0 16 66 100 118 130 180 196 198 214 264 276 294 328 378 394	-610911865378
STPT(10)	2356698025245913211	0 2 36 38 78 80 120 122 156 158	-323845486860
SPT(16)	2356698083273903843	0 14 18 48 60 146 168 200 234 266 288 374 386 416 420 434	-265817496228
SPT(16)	2356698475672274509	0 52 54 100 112 124 130 168 184 222 228 240 252 298 300 352	126580874438
STPT(10)	2356698573321080531	0 2 6 8 48 50 90 92 96 98	224229680460
STPT(10)	2356698645578433521	0 2 30 32 78 80 126 128 156 158	296487033450
STPT(10)	2356698749609877287	0 2 24 26 42 44 60 62 84 86	400518477216
SPT(16)	2356698932403874301	0 6 12 50 62 110 116 126 152 162 168 216 228 266 272 278	583312474230