Prime p₀= 801000458762152457 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: Frank [NT]
db: batch=73, k=10, 2 28 2 10 2

TPT(14)	800999363436271229	0 2 60 62 72 74 102 104 150 152 222 224 240 242	-1095325881228
SPT(16)	800999510852791721	0 30 72 92 122 150 186 198 260 272 308 336 366 386 428 458	-947909360736
STPT(10)	800999611043378189	0 2 18 20 60 62 102 104 120 122	-847718774268
SPT(16)	800999640199081493	0 36 60 74 80 120 126 140 150 164 170 210 216 230 254 290	-818563070964
SPT(18)	801000144653456291	0 42 48 62 68 78 108 150 168 200 218 260 290 300 306 320 326 368	-314108696166
STPT(12)	801000190730715317	0 2 42 44 60 62 84 86 102 104 144 146	-268031437140
STPT(10)	801000642424428659	0 2 12 14 90 92 168 170 180 182	183662276202
SPT(16)	801000986306779487	0 12 14 20 32 36 42 50 276 284 290 294 306 312 314 326	527544627030
SPT(16)	801001060522443149	0 18 48 80 150 158 188 228 230 270 300 308 378 410 440 458	601760290692
SPT(16)	801001336101632591	0 32 50 66 72 102 150 156 176 182 230 260 266 282 300 332	877339480134
TPT(14)	801001914079097789	0 2 42 44 48 50 60 62 78 80 90 92 102 104	1455316945332