Prime p₀= 2682270578258796821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2682269094150559877	0 20 54 62 90 116 152 236 300 384 420 446 474 482 516 536	-1484108236944
STPT(10)	2682269199896542367	0 2 42 44 72 74 102 104 144 146	-1378362254454
SPT(16)	2682269204171298979	0 18 40 58 70 90 108 118 150 160 178 198 210 228 250 268	-1374087497842
SPT(18)	2682269744400956893	0 94 144 148 204 234 238 270 276 418 424 456 460 490 546 550 600 694	-833857839928
SPT(16)	2682269808502010911	0 42 46 78 90 118 142 148 210 216 240 268 280 312 316 358	-769756785910
TPT(14)	2682270433554950339	0 2 12 14 90 92 138 140 162 164 168 170 252 254	-144703846482
SPT(16)	2682270800019962033	0 26 38 56 128 164 194 236 408 450 480 516 588 606 618 644	221761165212
SPT(18)	2682270924194524879	0 24 94 124 198 234 238 282 300 412 430 474 478 514 588 618 688 712	345935728058
SPT(13)	2682271051528261409	0 30 60 72 102 132 150 168 198 228 240 270 300	473269464588
TPT(14)	2682271791565167587	0 2 30 32 42 44 90 92 144 146 240 242 342 344	1213306370766
SPT(16)	2682271863993852073	0 6 30 48 54 94 154 160 234 240 300 340 346 364 388 394	1285735055252