Prime p₀= 1168102564747125911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: xii5ku
db: batch=77, k=10, 2 64 2 70 2

SPT(16)	1168100579139368443	0 6 10 24 34 60 148 150 154 156 244 270 280 294 298 304	-1985607757468
STPT(10)	1168100754546647531	0 2 30 32 78 80 126 128 156 158	-1810200478380
SPT(16)	1168101075526397977	0 40 42 70 130 142 156 226 306 376 390 402 462 490 492 532	-1489220727934
SPT(16)	1168101646405392437	0 14 50 62 120 126 186 222 224 260 320 326 384 396 432 446	-918341733474
SPT(16)	1168101793851440909	0 14 18 32 108 138 192 258 284 350 404 434 510 524 528 542	-770895685002
SPT(16)	1168101895115095279	0 22 30 40 42 70 78 108 124 154 162 190 192 202 210 232	-669632030632
SPT(16)	1168102916415054023	0 18 26 108 110 120 186 228 326 368 434 444 446 528 536 554	351667928112
STPT(10)	1168103034684969737	0 2 12 14 72 74 132 134 144 146	469937843826
TPT(14)	1168103143612657919	0 2 18 20 42 44 78 80 102 104 162 164 270 272	578865532008
SPT(16)	1168103339328106133	0 14 36 44 66 78 128 140 144 156 206 218 240 248 270 284	774580980222
STPT(10)	1168103375611237337	0 2 24 26 42 44 60 62 84 86	810864111426