Prime p₀= 2812544564306331269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2812542856102934081	0 12 56 66 86 102 128 140 168 180 206 222 242 252 296 308	-1708203397188
STPT(10)	2812543167676387307	0 2 30 32 42 44 54 56 84 86	-1396629943962
SPT(16)	2812543248620637439	0 34 40 144 160 174 180 220 252 292 298 312 328 432 438 472	-1315685693830
STPT(10)	2812543524555309239	0 2 30 32 60 62 90 92 120 122	-1039751022030
TPT(14)	2812543858913605499	0 2 18 20 102 104 168 170 198 200 258 260 270 272	-705392725770
TPT(14)	2812543922423269169	0 2 18 20 90 92 168 170 330 332 408 410 498 500	-641883062100
SPT(16)	2812545029439061967	0 36 42 50 66 72 180 222 224 266 374 380 396 404 410 446	465132730698
STPT(10)	2812545033772512947	0 2 30 32 42 44 54 56 84 86	469466181678
STPT(10)	2812545483995641967	0 2 60 62 72 74 84 86 144 146	919689310698
SPT(16)	2812545645986875627	0 24 52 54 90 124 126 132 154 160 162 196 232 234 262 286	1081680544358
SPT(16)	2812545985513752737	0 12 36 72 84 90 96 104 162 170 176 182 194 230 254 266	1421207421468