Prime p₀= 1302359208614451509 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: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1302357100393132999	0 28 34 54 94 120 130 144 154 168 178 204 244 264 270 298	-2108221318510
SPT(16)	1302357272401826093	0 6 14 90 96 126 234 246 248 260 368 398 404 480 488 494	-1936212625416
SPT(16)	1302357327297345019	0 70 94 100 138 154 198 204 214 220 264 280 318 324 348 418	-1881317106490
SPT(16)	1302358020977274913	0 10 18 28 36 54 84 136 138 190 220 238 246 256 264 274	-1187637176596
STPT(12)	1302358293726743129	0 2 30 32 42 44 48 50 60 62 90 92	-914887708380
SPT(16)	1302359032369526543	0 24 68 104 146 168 188 210 254 276 296 318 360 396 440 464	-176244924966
SPT(16)	1302359546192445679	0 22 28 72 142 144 148 168 184 204 208 210 280 324 330 352	337577994170
SPT(16)	1302359633877153871	0 10 42 70 96 108 112 162 166 216 220 232 258 286 318 328	425262702362
SPT(16)	1302359680688947999	0 28 40 42 54 100 132 172 210 250 282 328 340 342 354 382	472074496490
TPT(14)	1302359722493941019	0 2 30 32 42 44 102 104 150 152 192 194 240 242	513879489510
STPT(10)	1302359805512250227	0 2 30 32 42 44 54 56 84 86	596897798718