Prime p₀= 2568771649452944951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: JayPi
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2568770750745352133	0 14 18 30 144 168 180 198 206 224 236 260 374 386 390 404	-898707592818
SPT(16)	2568770773206984677	0 2 56 92 114 116 126 132 284 290 300 302 324 360 414 416	-876245960274
STPT(10)	2568770809316413967	0 2 42 44 72 74 102 104 144 146	-840136530984
SPT(16)	2568770910734925059	0 44 62 80 174 204 224 242 342 360 380 410 504 522 540 584	-738718019892
STPT(10)	2568771193172621117	0 2 90 92 102 104 114 116 204 206	-456280323834
STPT(10)	2568771459489374987	0 2 12 14 42 44 72 74 84 86	-189963569964
SPT(16)	2568771906328131463	0 4 10 24 40 84 94 150 208 264 274 318 334 348 354 358	256875186512
STPT(10)	2568771927412058279	0 2 18 20 30 32 42 44 60 62	277959113328
STPT(10)	2568772304765066339	0 2 78 80 120 122 162 164 240 242	655312121388
SPT(16)	2568772371033994211	0 8 56 86 98 102 108 116 132 140 146 150 162 192 240 248	721581049260
STPT(10)	2568772623546400259	0 2 18 20 30 32 42 44 60 62	974093455308