Prime p₀= 2306565114091253957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	2306563922386170047	0 2 42 44 72 74 102 104 144 146	-1191705083910
STPT(10)	2306563935723910661	0 2 108 110 138 140 168 170 276 278	-1178367343296
SPT(16)	2306563995702880423	0 4 28 60 90 96 130 144 280 294 328 334 364 396 420 424	-1118388373534
SPT(16)	2306564050661286259	0 34 42 54 90 112 120 138 154 172 180 202 238 250 258 292	-1063429967698
STPT(10)	2306564151675109889	0 2 12 14 90 92 168 170 180 182	-962416144068
SPT(16)	2306564511059984269	0 22 24 34 42 58 90 108 124 142 174 190 198 208 210 232	-603031269688
SPT(16)	2306565328540455643	0 34 48 58 94 96 156 160 174 178 238 240 276 286 300 334	214449201686
STPT(10)	2306565450189729611	0 2 36 38 78 80 120 122 156 158	336098475654
SPT(18)	2306565485096276947	0 6 30 46 60 76 112 126 132 154 160 174 210 226 240 256 280 286	371005022990
SPT(16)	2306565644728225493	0 8 20 54 68 104 186 228 296 338 420 456 470 504 516 524	530636971536
TPT(14)	2306566046128917161	0 2 108 110 246 248 276 278 336 338 378 380 450 452	932037663204