Prime p₀= 2310361076229437897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: FritzB
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2310359829375987251	0 2 36 38 78 80 120 122 156 158	-1246853450646
TPT(14)	2310360142398859091	0 2 30 32 90 92 168 170 210 212 246 248 288 290	-933830578806
TPT(14)	2310360253080990347	0 2 12 14 54 56 72 74 84 86 240 242 252 254	-823148447550
SPT(16)	2310360404709667379	0 2 24 32 138 144 264 270 362 368 488 494 600 608 630 632	-671519770518
SPT(16)	2310360642414110437	0 4 6 40 60 72 76 210 286 420 424 436 456 490 492 496	-433815327460
TPT(14)	2310360899030925281	0 2 60 62 90 92 156 158 228 230 246 248 288 290	-177198512616
STPT(10)	2310361913807048831	0 2 36 38 78 80 120 122 156 158	837577610934
TPT(14)	2310361996895845967	0 2 42 44 72 74 84 86 174 176 222 224 282 284	920666408070
SPT(16)	2310362324669689181	0 26 30 56 72 78 80 86 132 138 140 146 162 188 192 218	1248440251284
STPT(10)	2310362348082361631	0 2 36 38 78 80 120 122 156 158	1271852923734
STPT(10)	2310362390549650427	0 2 90 92 132 134 174 176 264 266	1314320212530