Prime p₀= 2829549580048400327 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2829546714230690263	0 10 24 34 54 78 108 124 174 190 220 244 264 274 288 298	-2865817710064
SPT(18)	2829546736324661807	0 44 62 116 146 200 242 270 282 284 296 324 366 420 450 504 522 566	-2843723738520
TPT(14)	2829547279315578509	0 2 30 32 48 50 162 164 210 212 252 254 282 284	-2300732821818
TPT(14)	2829547363305024119	0 2 90 92 102 104 162 164 240 242 270 272 300 302	-2216743376208
SPT(13)	2829547574590668427	0 12 42 66 72 156 216 276 360 366 390 420 432	-2005457731900
TPT(14)	2829548675129117657	0 2 144 146 312 314 330 332 354 356 414 416 420 422	-904919282670
SPT(16)	2829549984510360931	0 28 36 46 70 78 96 112 156 172 190 198 222 232 240 268	404461960604
SPT(16)	2829550539519022933	0 34 54 60 96 106 118 130 204 216 228 238 274 280 300 334	959470622606
STPT(10)	2829550591342407431	0 2 36 38 78 80 120 122 156 158	1011294007104
STPT(10)	2829550738804604369	0 2 18 20 60 62 102 104 120 122	1158756204042
SPT(16)	2829550825346433823	0 46 66 118 126 174 178 208 216 246 250 298 306 358 378 424	1245298033496