Prime p₀= 1034299636166704277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1034298254864139743	0 8 20 30 38 60 74 80 84 90 104 126 134 144 156 164	-1381302564534
TPT(14)	1034298519466761959	0 2 18 20 90 92 168 170 198 200 222 224 258 260	-1116699942318
SPT(16)	1034298642939013513	0 28 46 54 106 136 174 180 244 250 288 318 370 378 396 424	-993227690764
SPT(16)	1034299134464698649	0 98 162 192 218 240 294 318 434 458 512 534 560 590 654 752	-501702005628
STPT(10)	1034299208416269737	0 2 30 32 42 44 54 56 84 86	-427750434540
STPT(10)	1034299378897191227	0 2 60 62 72 74 84 86 144 146	-257269513050
TPT(14)	1034299844730762941	0 2 6 8 36 38 48 50 90 92 168 170 300 302	208564058664
SPT(16)	1034299939876263779	0 24 60 78 134 182 222 228 284 290 330 378 434 452 488 512	303709559502
STPT(10)	1034300339454230657	0 2 30 32 42 44 54 56 84 86	703287526380
SPT(16)	1034300507834164399	0 12 24 58 72 90 108 114 118 124 142 160 174 208 220 232	871667460122
STPT(10)	1034300509343374121	0 2 36 38 78 80 120 122 156 158	873176669844