Prime p₀= 743910827505156131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=73, k=10, 2 4 2 10 2

STPT(10)	743909979967024901	0 2 30 32 60 62 90 92 120 122	-847538131230
STPT(10)	743910098610335549	0 2 12 14 90 92 168 170 180 182	-728894820582
SPT(16)	743910636725738843	0 18 56 110 126 168 176 188 216 228 236 278 294 348 386 404	-190779417288
TPT(14)	743910736579837397	0 2 30 32 42 44 60 62 84 86 114 116 132 134	-90925318734
SPT(16)	743910800367948079	0 34 52 60 72 84 102 154 198 250 268 280 292 300 318 352	-27137208052
STPT(10)	743910803483389151	0 2 30 32 78 80 126 128 156 158	-24021766980
STPT(10)	743910895479271547	0 2 24 26 42 44 60 62 84 86	67974115416
SPT(16)	743911033325471129	0 18 48 72 152 158 182 188 192 198 222 228 308 332 362 380	205820314998
STPT(10)	743911242200111891	0 2 6 8 48 50 90 92 96 98	414694955760
SPT(16)	743911547355157847	0 42 56 80 152 162 164 182 204 222 224 234 306 330 344 386	719850001716
SPT(16)	743911661130200471	0 2 20 32 102 122 138 146 192 200 216 236 306 318 336 338	833625044340