Prime p₀= 2352682776442292267 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: suriv
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2352680731903718561	0 2 36 38 78 80 120 122 156 158	-2044538573706
STPT(10)	2352680738364705641	0 2 6 8 48 50 90 92 96 98	-2038077586626
SPT(16)	2352680899742770411	0 6 16 40 58 70 78 96 100 118 126 138 156 180 190 196	-1876699521856
TPT(14)	2352680991615239009	0 2 18 20 60 62 138 140 180 182 228 230 240 242	-1784827053258
STPT(10)	2352682468751365757	0 2 30 32 42 44 54 56 84 86	-307690926510
STPT(10)	2352682571780832647	0 2 30 32 72 74 114 116 144 146	-204661459620
STPT(10)	2352682879521703271	0 2 6 8 48 50 90 92 96 98	103079411004
STPT(10)	2352683000586824909	0 2 132 134 150 152 168 170 300 302	224144532642
STPT(10)	2352683003829850589	0 2 18 20 30 32 42 44 60 62	227387558322
SPT(18)	2352683298127150223	0 8 20 26 50 56 74 86 144 170 228 240 258 264 288 294 306 314	521684857956
SPT(16)	2352683317638996889	0 24 70 72 84 94 114 172 192 250 270 280 292 294 340 364	541196704622