Prime p₀= 2581435212225380879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2581434308025862997	0 50 74 92 144 162 182 200 246 264 284 302 354 372 396 446	-904199517882
STPT(10)	2581434551610107057	0 2 42 44 72 74 102 104 144 146	-660615273822
SPT(16)	2581434986805380803	0 16 30 118 154 198 214 216 238 240 256 300 336 424 438 454	-225420000076
SPT(20)	2581435009248732641	0 20 26 56 60 116 138 188 236 242 246 252 300 350 372 428 432 462 468 488	-202976648238
SPT(16)	2581435116383077963	0 4 24 28 46 54 150 178 186 214 310 318 336 340 360 364	-95842302916
SPT(18)	2581435208575908149	0 62 72 78 84 164 248 258 282 350 374 384 468 548 554 560 570 632	-3649472730
SPT(16)	2581435289592149483	0 6 20 30 86 108 140 164 180 204 236 258 314 324 338 344	77366768604
SPT(16)	2581435663763576693	0 8 50 104 120 156 164 170 294 300 308 344 360 414 456 464	451538195814
SPT(16)	2581436079413283661	0 18 28 46 66 76 90 108 178 196 210 220 240 258 268 286	867187902782
STPT(10)	2581436176674239627	0 2 30 32 42 44 54 56 84 86	964448858748
SPT(16)	2581436510849550157	0 42 90 102 124 166 214 220 336 342 390 432 454 466 514 556	1298624169278