Prime p₀= 2570475774844188707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2570474556639852211	0 16 30 42 46 60 88 108 160 180 208 222 226 238 252 268	-1218204336496
SPT(16)	2570474613465423139	0 10 40 72 100 102 132 150 160 178 208 210 238 270 300 310	-1161378765568
TPT(14)	2570474669649782249	0 2 48 50 72 74 210 212 222 224 252 254 258 260	-1105194406458
STPT(12)	2570474711343779267	0 2 24 26 30 32 54 56 60 62 84 86	-1063500409440
SPT(16)	2570475445233934937	0 24 54 72 102 114 152 174 290 312 350 362 392 410 440 464	-329610253770
SPT(16)	2570475492176727403	0 16 60 118 184 196 198 220 234 256 258 270 336 394 438 454	-282667461304
STPT(10)	2570476125763361909	0 2 30 32 60 62 90 92 120 122	350919173202
STPT(10)	2570476681183779419	0 2 18 20 30 32 42 44 60 62	906339590712
SPT(16)	2570477581437178337	0 26 44 84 96 110 116 150 170 204 210 224 236 276 294 320	1806592989630
STPT(10)	2570477683472652167	0 2 30 32 42 44 54 56 84 86	1908628463460
STPT(10)	2570478280452093839	0 2 42 44 60 62 78 80 120 122	2505607905132