Prime p₀= 2777717250906449237 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2777715550534658413	0 30 36 58 66 70 138 150 154 166 234 238 246 268 274 304	-1700371790824
TPT(14)	2777715859192823597	0 2 12 14 42 44 72 74 144 146 180 182 222 224	-1391713625640
SPT(16)	2777715943087055461	0 36 52 60 96 130 178 196 222 240 288 322 358 366 382 418	-1307819393776
STPT(10)	2777716274144430077	0 2 30 32 42 44 54 56 84 86	-976762019160
SPT(18)	2777716445755606981	0 6 30 40 48 52 70 72 82 126 136 138 156 160 168 178 202 208	-805150842256
STPT(10)	2777716640393715071	0 2 6 8 18 20 30 32 36 38	-610512734166
SPT(16)	2777717253509802367	0 10 46 82 126 130 222 240 262 280 372 376 420 456 492 502	2603353130
STPT(10)	2777717514220634927	0 2 30 32 42 44 54 56 84 86	263314185690
SPT(16)	2777717818346774077	0 42 54 64 66 90 106 112 144 150 166 190 192 202 214 256	567440324840
SPT(16)	2777718829070723411	0 18 30 42 66 126 168 180 228 240 282 342 366 378 390 408	1578164274174
SPT(16)	2777719169089528613	0 14 48 50 78 80 134 140 228 234 288 290 318 320 354 368	1918183079376