Prime p₀= 2158881218921677277 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(18)	2158879179549834967	0 10 64 84 106 120 124 130 154 162 186 192 196 210 232 252 306 316	-2039371842310
SPT(16)	2158879183570910501	0 42 72 78 98 108 140 182 318 360 392 402 422 428 458 500	-2035350766776
SPT(16)	2158879416560267537	0 24 42 80 122 134 162 170 174 182 210 222 264 302 320 344	-1802361409740
STPT(12)	2158880551905907757	0 2 30 32 42 44 102 104 114 116 144 146	-667015769520
STPT(10)	2158880962188202907	0 2 30 32 72 74 114 116 144 146	-256733474370
STPT(10)	2158881193125849131	0 2 30 32 60 62 90 92 120 122	-25795828146
STPT(10)	2158881251085853109	0 2 12 14 90 92 168 170 180 182	32164175832
TPT(14)	2158881641534747531	0 2 96 98 108 110 180 182 216 218 360 362 420 422	422613070254
SPT(16)	2158882129002098183	0 6 66 80 84 116 140 150 224 234 258 290 294 308 368 374	910080420906
SPT(16)	2158882165497162277	0 34 72 96 100 102 124 130 156 162 184 186 190 214 252 286	946575485000
SPT(16)	2158882387006390447	0 24 34 52 64 84 90 156 160 226 232 252 264 282 292 316	1168084713170