Prime p₀= 2566668923431705397 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2566667138935075961	0 2 36 38 78 80 120 122 156 158	-1784496629436
STPT(10)	2566667432138703371	0 2 30 32 78 80 126 128 156 158	-1491293002026
STPT(10)	2566667610151214147	0 2 30 32 42 44 54 56 84 86	-1313280491250
SPT(16)	2566667985309698287	0 6 10 42 52 70 84 90 136 142 156 174 184 216 220 226	-938122007110
STPT(10)	2566668396685268171	0 2 6 8 18 20 30 32 36 38	-526746437226
SPT(16)	2566668895861410449	0 14 90 168 222 228 258 272 420 434 464 470 524 602 678 692	-27570294948
SPT(16)	2566668988319218033	0 10 88 94 96 124 184 186 208 210 270 298 300 306 384 394	64887512636
SPT(16)	2566669113861856859	0 48 60 74 84 98 108 122 150 164 174 188 198 212 224 272	190430151462
SPT(16)	2566669195386592759	0 28 42 52 64 78 82 94 138 150 154 168 180 190 204 232	271954887362
SPT(16)	2566669913768052877	0 16 22 30 42 70 96 126 136 166 192 220 232 240 246 262	990336347480
STPT(10)	2566670319429321377	0 2 24 26 42 44 60 62 84 86	1395997615980