Prime p₀= 2591513430282088391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2591512481585364719	0 48 74 78 98 140 174 200 282 308 342 384 404 408 434 482	-948696723672
STPT(10)	2591512545215072747	0 2 30 32 72 74 114 116 144 146	-885067015644
SPT(16)	2591512742655462961	0 46 70 76 82 126 130 178 210 258 262 306 312 318 342 388	-687626625430
SPT(16)	2591513090051219891	0 62 90 102 128 138 168 170 198 200 230 240 266 278 306 368	-340230868500
STPT(10)	2591513106978250457	0 2 30 32 60 62 90 92 120 122	-323303837934
STPT(10)	2591513367662824901	0 2 6 8 18 20 30 32 36 38	-62619263490
SPT(16)	2591514223211634883	0 10 60 66 70 94 108 136 138 166 180 204 208 214 264 274	792929546492
SPT(16)	2591514517638418831	0 12 40 42 88 112 118 130 198 210 216 240 286 288 316 328	1087356330440
SPT(16)	2591514753061704907	0 6 30 40 82 90 100 166 210 276 286 294 336 346 370 376	1322779616516
STPT(10)	2591514772845335537	0 2 12 14 72 74 132 134 144 146	1342563247146
STPT(10)	2591515410859043267	0 2 30 32 42 44 54 56 84 86	1980576954876