Prime p₀= 1156781861457347129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: HenkM
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1156781049383784389	0 32 80 122 152 162 164 168 284 288 290 300 330 372 420 452	-812073562740
TPT(14)	1156781453156801579	0 2 18 20 42 44 72 74 90 92 120 122 162 164	-408300545550
SPT(20)	1156781600769472807	0 10 34 52 100 112 132 142 150 154 162 166 174 184 204 216 264 282 306 316	-260687874322
STPT(10)	1156781675277196919	0 2 18 20 30 32 42 44 60 62	-186180150210
STPT(10)	1156781717715587387	0 2 54 56 72 74 90 92 144 146	-143741759742
SPT(16)	1156781829711981929	0 68 108 122 198 224 234 252 290 308 318 344 420 434 474 542	-31745365200
SPT(16)	1156781870281058093	0 14 24 30 48 90 98 108 140 150 158 200 218 224 234 248	8823710964
SPT(16)	1156782059289853753	0 28 60 66 70 124 130 180 184 234 240 294 298 304 336 364	197832506624
SPT(16)	1156782097788543487	0 42 70 72 84 94 100 114 130 144 150 160 172 174 202 244	236331196358
SPT(16)	1156782298692165331	0 16 88 102 142 190 226 228 250 252 288 336 376 390 462 478	437234818202
SPT(16)	1156782348852042947	0 60 104 132 140 182 216 234 272 290 324 366 374 402 446 506	487394695818