Prime p₀= 726781834937904869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: crashtech
db: batch=73, k=10, 2 10 2 16 2

STPT(10)	726780216970746779	0 2 42 44 120 122 198 200 240 242	-1617967158090
TPT(14)	726780472000244399	0 2 12 14 48 50 210 212 330 332 342 344 390 392	-1362937660470
SPT(16)	726780694002038779	0 42 78 108 112 132 148 160 180 192 208 228 232 262 298 340	-1140935866090
STPT(12)	726780865328020169	0 2 42 44 78 80 162 164 198 200 240 242	-969609884700
TPT(14)	726781334148779681	0 2 30 32 156 158 198 200 228 230 246 248 300 302	-500789125188
SPT(16)	726781736115150577	0 54 82 96 114 144 156 186 190 220 232 262 280 294 322 376	-98822754292
SPT(16)	726782211034968259	0 52 84 112 120 184 190 220 264 294 300 364 372 400 432 484	376097063390
SPT(16)	726782253380244689	0 18 20 24 90 110 134 158 210 234 258 278 344 348 350 368	418442339820
SPT(16)	726783324402665351	0 8 20 48 68 86 96 156 272 332 342 360 380 408 420 428	1489464760482
SPT(16)	726783544623203159	0 8 14 60 78 98 102 138 164 200 204 224 242 288 294 302	1709685298290
SPT(16)	726783756440688851	0 42 60 90 146 158 192 218 240 266 300 312 368 398 416 458	1921502783982