Prime p₀= 1089834059430025319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: ginga
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1089832236124863107	0 2 30 32 60 62 90 92 120 122	-1823305162212
STPT(10)	1089832836599942087	0 2 42 44 72 74 102 104 144 146	-1222830083232
SPT(16)	1089832995519909779	0 48 98 144 152 164 182 222 230 270 288 300 308 354 404 452	-1063910115540
STPT(10)	1089833077985868917	0 2 30 32 42 44 54 56 84 86	-981444156402
SPT(16)	1089833202047001301	0 36 60 82 102 106 130 180 262 312 336 340 360 382 406 442	-857383024018
SPT(16)	1089833896020541907	0 26 50 110 132 156 222 266 300 344 410 434 456 516 540 566	-163409483412
STPT(12)	1089834254077015079	0 2 12 14 42 44 48 50 78 80 90 92	194646989760
STPT(10)	1089834286620860621	0 2 36 38 78 80 120 122 156 158	227190835302
STPT(10)	1089834522455634251	0 2 6 8 18 20 30 32 36 38	463025608932
STPT(10)	1089834635817058499	0 2 18 20 30 32 42 44 60 62	576387033180
SPT(16)	1089834646460485301	0 12 38 50 68 96 182 188 210 216 302 330 348 360 386 398	587030459982