Prime p₀= 2574642723276460589 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

STPT(10)	2574641499300612407	0 2 12 14 42 44 72 74 84 86	-1223975848182
STPT(10)	2574642134205234407	0 2 12 14 42 44 72 74 84 86	-589071226182
SPT(16)	2574642196191105419	0 60 78 80 84 164 198 200 252 254 288 368 372 374 392 452	-527085355170
SPT(16)	2574642345643920373	0 6 34 54 78 94 118 136 138 156 180 196 220 240 268 274	-377632540216
SPT(16)	2574642405230094911	0 6 56 60 98 138 140 152 216 228 230 270 308 312 362 368	-318046365678
TPT(14)	2574642723276460517	0 2 72 74 90 92 102 104 114 116 132 134 174 176	-72
SPT(16)	2574643100127540583	0 18 64 144 180 208 228 238 240 250 270 298 334 414 460 478	376851079994
TPT(14)	2574643220534173781	0 2 126 128 150 152 156 158 180 182 276 278 390 392	497257713192
STPT(10)	2574643232640134177	0 2 30 32 42 44 54 56 84 86	509363673588
STPT(10)	2574643601435957837	0 2 30 32 60 62 90 92 120 122	878159497248
SPT(16)	2574643931654187707	0 6 66 80 90 146 182 210 212 240 276 332 342 356 416 422	1208377727118