Prime p₀= 1509216054870233621 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: crashtech
db: batch=78, k=10, 2 4 2 10 2

SPT(18)	1509213773754732757	0 40 52 76 96 132 160 186 204 262 280 306 334 370 390 414 426 466	-2281115500864
STPT(12)	1509213833587900481	0 2 18 20 60 62 96 98 138 140 156 158	-2221282333140
SPT(16)	1509214211501093497	0 22 100 112 124 142 144 154 180 190 192 210 222 234 312 334	-1843369140124
SPT(16)	1509214283601147241	0 16 18 28 66 70 82 96 172 186 198 202 240 250 252 268	-1771269086380
SPT(16)	1509214932452317943	0 48 66 68 80 84 150 168 206 224 290 294 306 308 326 374	-1122417915678
STPT(10)	1509215742473209679	0 2 18 20 30 32 42 44 60 62	-312397023942
SPT(16)	1509216070740680447	0 14 60 90 96 116 134 162 164 192 210 230 236 266 312 326	15870446826
SPT(16)	1509216088080289327	0 34 46 76 90 114 144 180 190 226 256 280 294 324 336 370	33210055706
SPT(16)	1509216109553018029	0 4 10 34 64 70 88 142 330 384 402 408 438 462 468 472	54682784408
STPT(10)	1509216152174764247	0 2 30 32 42 44 54 56 84 86	97304530626
STPT(10)	1509216175535119781	0 2 36 38 78 80 120 122 156 158	120664886160