Prime p₀= 815256814750034357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: matali
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	815255098539830519	0 2 18 20 30 32 42 44 60 62	-1716210203838
TPT(14)	815255109811962047	0 2 54 56 60 62 90 92 222 224 270 272 282 284	-1704938072310
SPT(20)	815255182469912519	0 48 62 102 128 170 180 188 234 258 374 398 444 452 462 504 530 570 584 632	-1632280121838
SPT(16)	815255776400806493	0 26 104 134 186 228 284 294 320 330 386 428 480 510 588 614	-1038349227864
SPT(16)	815255823196155203	0 30 48 78 128 156 158 186 200 228 230 258 308 338 356 386	-991553879154
TPT(14)	815255969076087239	0 2 42 44 72 74 150 152 162 164 240 242 318 320	-845673947118
SPT(16)	815256860446979287	0 36 46 102 120 150 162 172 210 220 232 262 280 336 346 382	45696944930
SPT(16)	815257166709772049	0 2 30 32 42 92 110 152 162 204 222 272 282 284 312 314	351959737692
TPT(14)	815257243776543707	0 2 12 14 150 152 192 194 324 326 360 362 402 404	429026509350
STPT(10)	815257276597439447	0 2 30 32 72 74 114 116 144 146	461847405090
SPT(16)	815257601106178499	0 24 44 48 84 92 114 192 230 308 330 338 374 378 398 422	786356144142