Prime p₀= 2301672272584992449 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: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2301670902349530253	0 36 54 76 84 90 106 126 328 348 364 370 378 400 418 454	-1370235462196
STPT(10)	2301670932770913617	0 2 90 92 132 134 174 176 264 266	-1339814078832
STPT(10)	2301671007955001831	0 2 30 32 78 80 126 128 156 158	-1264629990618
SPT(16)	2301671119036824643	0 10 28 66 70 94 96 124 180 208 210 234 238 276 294 304	-1153548167806
SPT(16)	2301671448900764761	0 10 42 66 72 90 100 118 210 228 238 256 262 286 318 328	-823684227688
STPT(10)	2301672074084525039	0 2 18 20 60 62 102 104 120 122	-198500467410
SPT(16)	2301672345680875591	0 40 46 88 100 106 156 162 166 172 222 228 240 282 288 328	73095883142
STPT(12)	2301672517060901447	0 2 12 14 24 26 210 212 222 224 234 236	244475908998
STPT(10)	2301672525408762557	0 2 30 32 102 104 174 176 204 206	252823770108
STPT(10)	2301672621420195299	0 2 48 50 90 92 132 134 180 182	348835202850
SPT(16)	2301672755795679941	0 2 6 26 86 126 138 188 240 290 302 342 402 422 426 428	483210687492