Prime p₀= 2670841856958813677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2670839083390575107	0 6 20 36 44 54 84 96 170 182 212 222 230 246 260 266	-2773568238570
STPT(10)	2670839153730401411	0 2 6 8 18 20 30 32 36 38	-2703228412266
SPT(16)	2670839654553064559	0 8 50 54 60 90 138 180 182 224 272 302 308 312 354 362	-2202405749118
STPT(10)	2670840244491821327	0 2 72 74 102 104 132 134 204 206	-1612466992350
SPT(16)	2670840966485849621	0 2 90 98 102 126 140 168 260 288 302 326 330 338 426 428	-890472964056
SPT(16)	2670841445954627801	0 18 32 56 60 86 98 176 192 270 282 308 312 336 350 368	-411004185876
SPT(16)	2670842345923898873	0 20 44 74 108 158 180 210 254 284 306 356 390 420 444 464	488965085196
SPT(16)	2670842880220623013	0 28 34 48 54 100 118 126 148 156 174 220 226 240 246 274	1023261809336
SPT(16)	2670843027497487863	0 60 96 98 138 228 230 236 270 276 278 368 408 410 446 506	1170538674186
SPT(16)	2670843082270208413	0 10 64 100 120 138 178 204 214 240 280 298 318 354 408 418	1225311394736
STPT(10)	2670843120047881061	0 2 6 8 48 50 90 92 96 98	1263089067384