Prime p₀= 2307365097558166169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2307363801479731661	0 2 6 8 18 20 30 32 36 38	-1296078434508
SPT(16)	2307363825161425519	0 40 54 108 112 130 150 154 198 202 222 240 244 298 312 352	-1272396740650
STPT(10)	2307364017301928747	0 2 30 32 42 44 54 56 84 86	-1080256237422
SPT(16)	2307364128143922461	0 42 50 126 138 146 168 236 252 320 342 350 362 438 446 488	-969414243708
STPT(10)	2307364461564521627	0 2 72 74 102 104 132 134 204 206	-635993644542
STPT(10)	2307364674870030821	0 2 48 50 108 110 168 170 216 218	-422688135348
SPT(16)	2307365143079122879	0 42 78 124 132 174 180 184 228 232 238 280 288 334 370 412	45520956710
STPT(10)	2307365360473313027	0 2 30 32 42 44 54 56 84 86	262915146858
STPT(10)	2307365793299358689	0 2 18 20 30 32 42 44 60 62	695741192520
SPT(16)	2307365814863728687	0 34 40 52 70 76 94 106 150 162 180 186 204 216 222 256	717305562518
SPT(16)	2307366289348769809	0 42 108 112 142 154 168 172 180 184 198 210 240 244 310 352	1191790603640