Prime p₀= 2568712727829721721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 40 2 40 2 94 2 (?)
a_n: 0 2 96 98 138 140 180 182 276 278
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: RFGuy_KCCO
db: batch=82, k=10, 2 94 2 40 2

SPT(18)	2568711215495986237	0 66 70 94 96 144 166 180 216 250 286 300 322 370 372 396 400 466	-1512333735484
STPT(10)	2568711648248069789	0 2 48 50 90 92 132 134 180 182	-1079581651932
SPT(16)	2568711761823628819	0 58 72 100 160 168 210 280 300 370 412 420 480 508 522 580	-966006092902
TPT(14)	2568712089030548309	0 2 120 122 168 170 198 200 210 212 270 272 300 302	-638799173412
SPT(16)	2568712678442024291	0 6 20 66 92 116 146 182 210 246 276 300 326 372 386 392	-49387697430
SPT(16)	2568712703412947369	0 14 38 90 104 158 168 182 210 224 234 288 302 354 378 392	-24416774352
TPT(14)	2568712870452087761	0 2 120 122 138 140 150 152 210 212 288 290 330 332	142622366040
SPT(16)	2568713820783080029	0 28 30 42 52 72 108 112 138 142 178 198 208 220 222 250	1092953358308
STPT(10)	2568714110017783769	0 2 18 20 30 32 42 44 60 62	1382188062048
SPT(16)	2568714124033303639	0 12 42 60 214 222 240 250 252 262 280 288 442 460 490 502	1396203581918
STPT(10)	2568714215899946111	0 2 6 8 48 50 90 92 96 98	1488070224390