Prime p₀= 2731643004064148747 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: amazing
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2731641798849421691	0 2 30 32 78 80 126 128 156 158	-1205214727056
STPT(10)	2731641962608743599	0 2 18 20 30 32 42 44 60 62	-1041455405148
TPT(14)	2731641962977417937	0 2 12 14 42 44 72 74 144 146 210 212 234 236	-1041086730810
TPT(14)	2731642193321670437	0 2 30 32 42 44 84 86 132 134 174 176 222 224	-810742478310
STPT(10)	2731642224254389001	0 2 78 80 108 110 138 140 216 218	-779809759746
TPT(14)	2731642918444674821	0 2 96 98 108 110 138 140 156 158 210 212 240 242	-85619473926
SPT(16)	2731643256363530791	0 66 76 106 196 216 256 258 298 300 340 360 450 480 490 556	252299382044
SPT(16)	2731643443644841697	0 6 56 60 74 104 122 140 156 174 192 222 236 240 290 296	439580692950
STPT(10)	2731643994709354727	0 2 30 32 60 62 90 92 120 122	990645205980
SPT(16)	2731644113847673657	0 40 114 120 132 210 234 240 244 250 274 352 364 370 444 484	1109783524910
SPT(16)	2731644413241225997	0 4 6 72 82 124 126 132 154 160 162 204 214 280 282 286	1409177077250