Prime p₀= 2867890339339189007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2867888292676903103	0 20 54 66 86 98 110 126 128 144 156 168 188 200 234 254	-2046662285904
TPT(14)	2867888630514016727	0 2 90 92 102 104 120 122 144 146 270 272 294 296	-1708825172280
SPT(18)	2867888712668458909	0 24 42 48 72 78 108 154 180 262 288 334 364 370 394 400 418 442	-1626670730098
SPT(16)	2867888870304676103	0 6 14 18 36 48 68 146 168 246 266 278 296 300 308 314	-1469034512904
SPT(16)	2867889485159641559	0 14 18 38 84 114 152 194 198 240 278 308 354 374 378 392	-854179547448
STPT(10)	2867890288658083859	0 2 18 20 30 32 42 44 60 62	-50681105148
STPT(12)	2867890619805943409	0 2 12 14 30 32 42 44 60 62 72 74	280466754402
SPT(16)	2867890768977185389	0 18 22 34 40 58 70 100 102 132 144 162 168 180 184 202	429637996382
SPT(16)	2867891219506607617	0 16 46 52 112 114 142 154 252 264 292 294 354 360 390 406	880167418610
TPT(14)	2867891268390123959	0 2 18 20 60 62 222 224 228 230 282 284 300 302	929050934952
STPT(10)	2867891300227724081	0 2 36 38 108 110 180 182 216 218	960888535074