Prime p₀= 2569975778190682187 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: RFGuy_KCCO
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2569974795706379807	0 26 30 104 114 146 174 180 230 236 264 296 306 380 384 410	-982484302380
SPT(16)	2569975056972676471	0 28 42 46 96 112 130 132 136 138 156 172 222 226 240 268	-721218005716
SPT(16)	2569975100921828407	0 40 64 82 100 106 132 142 174 184 210 216 234 252 276 316	-677268853780
TPT(14)	2569975309526659247	0 2 54 56 132 134 234 236 252 254 264 266 330 332	-468664022940
TPT(14)	2569975730753629769	0 2 30 32 42 44 72 74 102 104 132 134 138 140	-47437052418
SPT(16)	2569975752682455581	0 6 78 102 146 158 170 198 260 288 300 312 356 380 452 458	-25508226606
STPT(10)	2569975830571716641	0 2 6 8 48 50 90 92 96 98	52381034454
SPT(16)	2569976066795441011	0 10 36 112 148 156 166 192 196 222 232 240 276 352 378 388	288604758824
STPT(10)	2569976468097969389	0 2 18 20 30 32 42 44 60 62	689907287202
SPT(18)	2569976779648013609	0 14 38 48 68 80 90 108 128 150 170 188 198 210 230 240 264 278	1001457331422
STPT(10)	2569977050029633799	0 2 42 44 60 62 78 80 120 122	1271838951612