Prime p₀= 1292164035963951107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: MarkRBright
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1292163467484067799	0 8 60 80 122 134 188 218 234 264 318 330 372 392 444 452	-568479883308
STPT(12)	1292163470368283297	0 2 30 32 54 56 180 182 204 206 234 236	-565595667810
SPT(16)	1292163563657104121	0 36 102 120 156 158 168 188 210 230 240 242 278 296 362 398	-472306846986
SPT(16)	1292163725813019583	0 10 34 40 46 94 108 130 174 196 210 258 264 270 294 304	-310150931524
SPT(16)	1292163830911415057	0 24 36 50 60 150 164 186 260 282 296 386 396 410 422 446	-205052536050
SPT(16)	1292163962715356287	0 22 34 40 160 162 204 214 240 250 292 294 414 420 432 454	-73248594820
SPT(16)	1292164220836975217	0 6 26 42 86 102 156 162 194 200 254 270 314 330 350 356	184873024110
STPT(10)	1292164376399990237	0 2 42 44 72 74 102 104 144 146	340436039130
SPT(16)	1292164902636236833	0 58 66 106 114 124 136 156 178 198 210 220 228 268 276 334	866672285726
SPT(16)	1292165201125058933	0 66 110 116 134 138 168 176 228 236 266 270 288 294 338 404	1165161107826
SPT(16)	1292165307129948703	0 28 64 78 84 124 126 138 226 238 240 280 286 300 336 364	1271165997596