Prime p₀= 3026895314075513729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: herby44
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3026894528058232319	0 20 42 54 60 90 152 164 210 222 284 314 320 332 354 374	-786017281410
STPT(10)	3026894687698824167	0 2 30 32 42 44 54 56 84 86	-626376689562
SPT(16)	3026894800061823307	0 4 12 70 112 126 144 154 162 172 190 204 246 304 312 316	-514013690422
STPT(10)	3026895009620670119	0 2 42 44 120 122 198 200 240 242	-304454843610
TPT(14)	3026895110770728059	0 2 18 20 30 32 42 44 78 80 90 92 120 122	-203304785670
SPT(16)	3026895178007223767	0 12 72 80 104 110 132 234 272 374 396 402 426 434 494 506	-136068289962
SPT(16)	3026895991033024247	0 2 14 36 60 74 140 156 230 246 312 326 350 372 384 386	676957510518
SPT(16)	3026896247268248101	0 6 28 36 60 90 132 192 316 376 418 448 472 480 502 508	933192734372
STPT(12)	3026896824286201547	0 2 42 44 72 74 102 104 132 134 174 176	1510210687818
SPT(16)	3026897187928044419	0 20 30 50 80 104 132 140 192 200 228 252 282 302 312 332	1873852530690
SPT(16)	3026897262175345129	0 30 54 58 72 84 154 160 162 168 238 250 264 268 292 322	1948099831400