Prime p₀= 1499670796637884667 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: BlackGoose05
db: batch=78, k=10, 2 22 2 16 2

STPT(10)	1499669693054933369	0 2 12 14 30 32 48 50 60 62	-1103582951298
STPT(10)	1499670220285484249	0 2 30 32 60 62 90 92 120 122	-576352400418
SPT(16)	1499670553707148913	0 6 18 48 56 60 80 90 116 126 146 150 158 188 200 206	-242930735754
SPT(16)	1499670625512558953	0 18 24 38 54 84 108 110 198 200 224 254 270 284 290 308	-171125325714
TPT(14)	1499670709894007501	0 2 6 8 156 158 180 182 240 242 270 272 336 338	-86743877166
SPT(16)	1499670759548375563	0 18 34 64 70 78 106 120 154 168 196 204 210 240 256 274	-37089509104
TPT(16)	1499670804411586979	0 2 18 20 30 32 42 44 72 74 198 200 210 212 228 230	7773702312
STPT(10)	1499670893810502377	0 2 30 32 42 44 54 56 84 86	97172617710
STPT(12)	1499671034321139059	0 2 42 44 48 50 72 74 78 80 120 122	237683254392
STPT(10)	1499671386645983867	0 2 30 32 42 44 54 56 84 86	590008099200
STPT(10)	1499671520146873691	0 2 36 38 78 80 120 122 156 158	723508989024