Prime p₀= 726832949851665791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 106 2 106 2 28 2 (?)
a_n: 0 2 30 32 138 140 246 248 276 278
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: 278
Found by: Theadalus
db: batch=73, k=10, 2 28 2 106 2

SPT(16)	726831265061540941	0 12 18 46 58 70 100 120 148 168 198 210 222 250 256 268	-1684790124850
TPT(14)	726831441852677699	0 2 42 44 102 104 168 170 192 194 222 224 228 230	-1507998988092
STPT(10)	726831453119548199	0 2 42 44 150 152 258 260 300 302	-1496732117592
SPT(13)	726831674730631969	0 30 42 48 72 108 120 132 168 192 198 210 240	-1275121033822
SPT(18)	726831811214232299	0 2 90 92 120 132 162 198 248 252 302 338 368 380 408 410 498 500	-1138637433492
STPT(10)	726832868010010427	0 2 30 32 42 44 54 56 84 86	-81841655364
SPT(16)	726833211772772971	0 6 10 28 72 100 102 126 142 166 168 196 240 258 262 268	261921107180
STPT(10)	726833246131013771	0 2 36 38 78 80 120 122 156 158	296279347980
SPT(16)	726833542978046653	0 4 36 88 100 106 118 130 174 186 198 204 216 268 300 304	593126380862
SPT(18)	726833638325088643	0 16 24 70 94 96 108 138 154 180 196 226 238 240 264 310 318 334	688473422852
STPT(10)	726833757269126279	0 2 48 50 90 92 132 134 180 182	807417460488