Prime p₀= 805097957178093377 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: Frank [NT]
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	805097158991117693	0 26 110 114 128 134 156 180 194 218 240 246 260 264 348 374	-798186975684
STPT(10)	805097427852065429	0 2 12 14 90 92 168 170 180 182	-529326027948
SPT(16)	805097756222369413	0 18 46 70 84 88 90 118 126 154 156 160 174 198 226 244	-200955723964
SPT(18)	805097818966396237	0 24 34 60 102 130 154 184 210 304 330 360 384 412 454 480 490 514	-138211697140
STPT(10)	805097833926993107	0 2 12 14 72 74 132 134 144 146	-123251100270
SPT(16)	805097841518140517	0 26 44 50 72 86 110 120 146 156 180 194 216 222 240 266	-115659952860
SPT(16)	805098098427337327	0 12 40 72 90 112 126 142 144 160 174 196 214 246 274 286	141249243950
STPT(10)	805098129118020779	0 2 18 20 30 32 42 44 60 62	171939927402
STPT(10)	805098938980878569	0 2 18 20 30 32 42 44 60 62	981802785192
SPT(16)	805099120831112021	0 6 26 80 90 110 120 180 188 248 258 278 288 342 362 368	1163653018644
SPT(16)	805099218785799671	0 48 156 180 188 230 236 258 320 342 348 390 398 422 530 578	1261607706294