Prime p₀= 2591513106978250457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2591512338519778097	0 2 30 32 72 74 114 116 144 146	-768458472360
STPT(10)	2591512438650852749	0 2 42 44 90 92 138 140 180 182	-668327397708
SPT(16)	2591512481585364719	0 48 74 78 98 140 174 200 282 308 342 384 404 408 434 482	-625392885738
STPT(10)	2591512545215072747	0 2 30 32 72 74 114 116 144 146	-561763177710
SPT(16)	2591512742655462961	0 46 70 76 82 126 130 178 210 258 262 306 312 318 342 388	-364322787496
SPT(16)	2591513090051219891	0 62 90 102 128 138 168 170 198 200 230 240 266 278 306 368	-16927030566
STPT(10)	2591513367662824901	0 2 6 8 18 20 30 32 36 38	260684574444
STPT(10)	2591513430282088391	0 2 30 32 78 80 126 128 156 158	323303837934
SPT(16)	2591514223211634883	0 10 60 66 70 94 108 136 138 166 180 204 208 214 264 274	1116233384426
SPT(16)	2591514517638418831	0 12 40 42 88 112 118 130 198 210 216 240 286 288 316 328	1410660168374
SPT(16)	2591514753061704907	0 6 30 40 82 90 100 166 210 276 286 294 336 346 370 376	1646083454450