Prime p₀= 2437409905971180599 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(13)	2437409167438150121	0 42 60 90 108 132 150 168 192 210 240 258 300	-738533030478
SPT(16)	2437409550418904297	0 26 84 92 96 132 140 162 164 186 194 230 234 242 300 326	-355552276302
STPT(10)	2437409567651548277	0 2 60 62 72 74 84 86 144 146	-338319632322
TPT(14)	2437409586706959311	0 2 126 128 186 188 198 200 228 230 360 362 408 410	-319264221288
SPT(16)	2437409658133495733	0 18 78 80 84 114 120 146 228 254 260 290 294 296 356 374	-247837684866
STPT(10)	2437409730248465837	0 2 12 14 72 74 132 134 144 146	-175722714762
STPT(10)	2437410127328979347	0 2 30 32 42 44 54 56 84 86	221357798748
STPT(10)	2437410351447716387	0 2 12 14 42 44 72 74 84 86	445476535788
SPT(16)	2437410532816184671	0 22 30 82 120 132 208 240 250 282 358 370 408 460 468 490	626845004072
STPT(10)	2437410541451989931	0 2 36 38 78 80 120 122 156 158	635480809332
SPT(16)	2437410689440865947	0 6 34 40 46 54 70 76 180 186 202 210 216 222 250 256	783469685348