Prime p₀= 800354801581640267 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: jozef j
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	800353657631715403	0 28 58 60 84 88 90 94 150 154 156 160 184 186 216 244	-1143949924864
SPT(16)	800353847064186109	0 22 24 78 112 132 144 154 168 178 190 210 244 298 300 322	-954517454158
STPT(10)	800354017467985439	0 2 42 44 90 92 138 140 180 182	-784113654828
TPT(14)	800354287087672727	0 2 12 14 42 44 60 62 102 104 180 182 210 212	-514493967540
STPT(10)	800354369037540671	0 2 6 8 48 50 90 92 96 98	-432544099596
STPT(10)	800354669389973837	0 2 42 44 72 74 102 104 144 146	-132191666430
TPT(14)	800354913124441331	0 2 60 62 66 68 150 152 156 158 198 200 306 308	111542801064
SPT(16)	800354925222361259	0 18 20 90 108 170 182 200 240 258 270 332 350 420 422 440	123640720992
SPT(16)	800355231600621133	0 40 78 120 138 166 178 204 280 306 318 346 364 406 444 484	430018980866
SPT(16)	800355435723503119	0 10 78 82 108 120 160 174 238 252 292 304 330 334 402 412	634141862852
SPT(16)	800355612389578111	0 10 16 48 100 102 130 132 136 138 166 168 220 252 258 268	810807937844