Prime p₀= 726833246131013771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	726831453119548199	0 2 42 44 150 152 258 260 300 302	-1793011465572
SPT(13)	726831674730631969	0 30 42 48 72 108 120 132 168 192 198 210 240	-1571400381802
SPT(18)	726831811214232299	0 2 90 92 120 132 162 198 248 252 302 338 368 380 408 410 498 500	-1434916781472
STPT(10)	726832868010010427	0 2 30 32 42 44 54 56 84 86	-378121003344
STPT(10)	726832949851665791	0 2 30 32 138 140 246 248 276 278	-296279347980
SPT(16)	726833211772772971	0 6 10 28 72 100 102 126 142 166 168 196 240 258 262 268	-34358240800
SPT(16)	726833542978046653	0 4 36 88 100 106 118 130 174 186 198 204 216 268 300 304	296847032882
SPT(18)	726833638325088643	0 16 24 70 94 96 108 138 154 180 196 226 238 240 264 310 318 334	392194074872
STPT(10)	726833757269126279	0 2 48 50 90 92 132 134 180 182	511138112508
STPT(10)	726833889484499297	0 2 54 56 72 74 90 92 144 146	643353485526
SPT(16)	726834229611921391	0 42 52 58 132 142 160 168 220 228 246 256 330 336 346 388	983480907620