Prime p₀= 2012804030944466717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2012802426312526967	0 2 30 32 42 44 54 56 84 86	-1604631939750
STPT(10)	2012802529842409601	0 2 6 8 18 20 30 32 36 38	-1501102057116
STPT(10)	2012802544858077059	0 2 42 44 90 92 138 140 180 182	-1486086389658
SPT(16)	2012802726190097381	0 38 68 116 150 182 278 288 350 360 456 488 522 570 600 638	-1304754369336
SPT(16)	2012802833916118747	0 6 34 52 60 72 76 112 114 150 154 166 174 192 220 226	-1197028347970
STPT(10)	2012803506551994881	0 2 6 8 48 50 90 92 96 98	-524392471836
SPT(16)	2012804302477933309	0 28 42 64 88 102 118 132 190 204 220 234 258 280 294 322	271533466592
SPT(16)	2012804341262238871	0 70 76 96 102 190 210 240 298 328 348 436 442 462 468 538	310317772154
SPT(16)	2012804691544903549	0 24 72 82 100 124 198 258 304 364 438 462 480 490 538 562	660600436832
STPT(10)	2012804771393466287	0 2 12 14 42 44 72 74 84 86	740448999570
SPT(13)	2012804928413878331	0 42 66 90 102 120 126 132 150 162 186 210 252	897469411614