Prime p₀= 2157354903930782051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Rantanplan
db: batch=81, k=10, 2 106 2 28 2

SPT(16)	2157352899315023887	0 10 22 36 72 112 120 142 204 226 234 274 310 324 336 346	-2004615758164
SPT(16)	2157353256259821469	0 12 28 78 84 114 154 198 244 288 328 358 364 414 430 442	-1647670960582
SPT(16)	2157353409414505807	0 16 46 96 112 114 150 172 234 256 292 294 310 360 390 406	-1494516276244
STPT(10)	2157353571883658129	0 2 18 20 60 62 102 104 120 122	-1332047123922
STPT(10)	2157353791940932139	0 2 18 20 60 62 102 104 120 122	-1111989849912
STPT(10)	2157353978771282477	0 2 42 44 132 134 222 224 264 266	-925159499574
STPT(10)	2157355098829867889	0 2 78 80 120 122 162 164 240 242	194899085838
STPT(10)	2157355295965716557	0 2 60 62 72 74 84 86 144 146	392034934506
STPT(10)	2157355449525123899	0 2 42 44 120 122 198 200 240 242	545594341848
SPT(16)	2157355749656287513	0 40 60 106 160 190 246 270 274 298 354 384 438 484 504 544	845725505462
STPT(10)	2157355898518932437	0 2 42 44 72 74 102 104 144 146	994588150386