Prime p₀= 1052570305675349567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1052569080395860997	0 84 90 92 110 132 134 144 170 180 182 204 222 224 230 314	-1225279488570
STPT(10)	1052569265429769221	0 2 36 38 78 80 120 122 156 158	-1040245580346
STPT(10)	1052569276143200351	0 2 6 8 48 50 90 92 96 98	-1029532149216
TPT(14)	1052569290960843701	0 2 6 8 48 50 90 92 126 128 138 140 216 218	-1014714505866
TPT(14)	1052569773698096609	0 2 60 62 72 74 90 92 138 140 168 170 258 260	-531977252958
SPT(16)	1052570183435221313	0 14 20 36 44 80 98 114 140 156 174 210 218 234 240 254	-122240128254
STPT(10)	1052570540375350439	0 2 18 20 60 62 102 104 120 122	234700000872
SPT(16)	1052570683781265631	0 10 22 52 78 142 156 210 268 322 336 400 426 456 468 478	378105916064
SPT(16)	1052571001742966137	0 6 12 22 42 66 70 90 112 132 136 160 180 190 196 202	696067616570
STPT(10)	1052571150001012307	0 2 30 32 42 44 54 56 84 86	844325662740
SPT(18)	1052571158068747129	0 4 24 28 42 150 178 180 250 282 352 354 382 490 504 508 528 532	852393397562