Prime p₀= 2735173685501734427 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2735170094208125837	0 42 54 134 152 156 170 174 182 186 200 204 222 302 314 356	-3591293608590
SPT(16)	2735170224163011203	0 6 18 20 78 90 116 126 140 150 176 188 246 248 260 266	-3461338723224
STPT(10)	2735172097071983519	0 2 18 20 30 32 42 44 60 62	-1588429750908
SPT(16)	2735172575372310889	0 12 18 28 30 58 72 84 268 280 294 322 324 334 340 352	-1110129423538
SPT(16)	2735172769473097913	0 18 36 44 50 86 128 134 150 156 198 234 240 248 266 284	-916028636514
TPT(14)	2735173004454029351	0 2 36 38 186 188 240 242 330 332 378 380 420 422	-681047705076
STPT(10)	2735174245196561237	0 2 24 26 42 44 60 62 84 86	559694826810
STPT(10)	2735174992688535491	0 2 6 8 48 50 90 92 96 98	1307186801064
STPT(10)	2735174998622156171	0 2 6 8 48 50 90 92 96 98	1313120421744
SPT(16)	2735175939530099531	0 26 32 42 90 102 110 116 156 162 170 182 230 240 246 272	2254028365104
SPT(16)	2735175962991712549	0 64 78 154 180 192 234 238 264 268 310 322 348 424 438 502	2277489978122