Prime p₀= 1028528071839788489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: HenkM
db: batch=76, k=10, 2 10 2 16 2

STPT(10)	1028525629795261847	0 2 30 32 42 44 54 56 84 86	-2442044526642
TPT(14)	1028525964137916401	0 2 120 122 180 182 288 290 306 308 318 320 330 332	-2107701872088
TPT(14)	1028526194575046987	0 2 180 182 204 206 240 242 282 284 414 416 444 446	-1877264741502
SPT(16)	1028527812284624681	0 30 68 78 108 152 156 222 236 302 306 350 380 390 428 458	-259555163808
STPT(10)	1028527812402316571	0 2 36 38 78 80 120 122 156 158	-259437471918
SPT(16)	1028527912789699583	0 30 56 74 104 114 204 216 284 296 386 396 426 444 470 500	-159050088906
STPT(10)	1028528190215567927	0 2 54 56 72 74 90 92 144 146	118375779438
STPT(10)	1028528475004902041	0 2 30 32 78 80 126 128 156 158	403165113552
SPT(16)	1028528589319315067	0 20 42 60 62 74 126 170 216 260 312 324 326 344 366 386	517479526578
SPT(16)	1028528812471692787	0 6 34 36 94 112 126 136 180 190 204 222 280 282 310 316	740631904298
TPT(14)	1028528872814716211	0 2 30 32 78 80 96 98 180 182 198 200 240 242	800974927722