Prime p₀= 2315765289041088527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2315763874466226593	0 66 78 110 120 134 156 164 180 188 210 224 234 266 278 344	-1414574861934
SPT(16)	2315764125800712913	0 18 34 58 88 144 174 196 228 250 280 336 366 390 406 424	-1163240375614
SPT(16)	2315764184199470629	0 4 28 100 118 160 198 202 210 214 252 294 312 384 408 412	-1104841617898
STPT(10)	2315764668342623747	0 2 12 14 42 44 72 74 84 86	-620698464780
STPT(10)	2315764703548069511	0 2 36 38 108 110 180 182 216 218	-585493019016
SPT(16)	2315764960898040049	0 4 12 82 94 100 114 150 214 250 264 270 282 352 360 364	-328143048478
SPT(16)	2315765728578107111	0 26 48 60 92 96 126 138 140 152 182 186 218 230 252 278	439537018584
STPT(10)	2315765924110861889	0 2 18 20 30 32 42 44 60 62	635069773362
SPT(16)	2315766468404401223	0 26 30 50 60 74 78 96 98 116 120 134 144 164 168 194	1179363312696
SPT(16)	2315766578052453203	0 14 54 60 80 86 98 116 138 156 168 174 194 200 240 254	1289011364676
SPT(16)	2315766690779218217	0 2 14 32 72 80 104 144 170 210 234 242 282 300 312 314	1401738129690