Prime p₀= 1509870915504518849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: xii5ku
db: batch=78, k=10, 2 40 2 16 2

SPT(16)	1509869156539687897	0 4 46 70 76 90 130 144 172 186 226 240 246 270 312 316	-1758964830952
SPT(16)	1509869280023780881	0 10 52 88 168 186 192 210 238 256 262 280 360 396 438 448	-1635480737968
SPT(16)	1509869310829815433	0 18 24 28 58 84 88 150 214 276 280 306 336 340 346 364	-1604674703416
SPT(16)	1509869692682988097	0 40 42 66 76 90 112 154 222 264 286 300 310 334 336 376	-1222821530752
SPT(16)	1509870000426564817	0 34 40 60 82 84 94 124 132 162 172 174 196 216 222 256	-915077954032
STPT(10)	1509870870478497827	0 2 24 26 42 44 60 62 84 86	-45026021022
STPT(10)	1509871128663980837	0 2 60 62 72 74 84 86 144 146	213159461988
STPT(10)	1509871262709788507	0 2 12 14 42 44 72 74 84 86	347205269658
STPT(10)	1509871307509314749	0 2 18 20 30 32 42 44 60 62	392004795900
TPT(14)	1509871404920667641	0 2 30 32 156 158 180 182 186 188 306 308 336 338	489416148792
TPT(14)	1509871450451202719	0 2 102 104 108 110 138 140 168 170 210 212 402 404	534946683870