Prime p₀= 2773829574528392801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Jeff17
db: batch=82, k=10, 2 34 2 40 2

TPT(14)	2773828256972385647	0 2 114 116 210 212 234 236 312 314 444 446 480 482	-1317556007154
SPT(16)	2773828305065808647	0 12 20 72 74 90 114 116 180 182 206 222 224 276 284 296	-1269462584154
SPT(16)	2773828819757106569	0 12 20 54 72 84 152 188 204 240 308 320 338 372 380 392	-754771286232
SPT(16)	2773829005589765329	0 12 48 70 94 162 204 220 222 238 280 348 372 394 430 442	-568938627472
STPT(10)	2773829226789838571	0 2 6 8 48 50 90 92 96 98	-347738554230
SPT(16)	2773829401770605699	0 78 108 114 120 134 164 174 248 258 288 302 308 314 344 422	-172757787102
SPT(16)	2773829587395375827	0 26 30 44 110 182 212 222 224 234 264 336 402 416 420 446	12866983026
STPT(10)	2773830021542160401	0 2 6 8 18 20 30 32 36 38	447013767600
SPT(16)	2773830413149536877	0 30 90 112 114 142 154 180 196 222 234 262 264 286 346 376	838621144076
SPT(16)	2773830518712187367	0 30 56 60 114 140 182 234 242 294 336 362 416 420 446 476	944183794566
STPT(10)	2773830958691447951	0 2 6 8 18 20 30 32 36 38	1384163055150