Prime p₀= 1058123182111266587 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: arkiss
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1058122456011294431	0 38 50 66 72 98 156 170 198 212 270 296 302 318 330 368	-726099972156
STPT(10)	1058122472008095551	0 2 30 32 78 80 126 128 156 158	-710103171036
STPT(10)	1058122510518597707	0 2 30 32 42 44 54 56 84 86	-671592668880
SPT(16)	1058122759229072287	0 36 46 60 90 114 142 144 202 204 232 256 286 300 310 346	-422882194300
SPT(16)	1058122806645599699	0 14 20 44 54 68 78 90 98 110 120 134 144 168 174 188	-375465666888
STPT(10)	1058123120832264671	0 2 30 32 60 62 90 92 120 122	-61279001916
SPT(16)	1058123536528896913	0 28 54 60 64 78 126 144 190 208 256 270 274 280 306 334	354417630326
TPT(14)	1058123549858221421	0 2 108 110 156 158 168 170 180 182 198 200 306 308	367746954834
SPT(16)	1058123618543624939	0 14 20 78 158 174 182 194 258 270 278 294 374 432 438 452	436432358352
TPT(14)	1058123646230091137	0 2 12 14 90 92 180 182 270 272 294 296 300 302	464118824550
TPT(14)	1058123912811452519	0 2 30 32 138 140 180 182 222 224 240 242 270 272	730700185932