Prime p₀= 1264418235698701337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Megacruncher
db: batch=77, k=10, 2 70 2 28 2

SPT(18)	1264416527203746517	0 6 34 76 82 94 96 112 124 252 264 280 282 294 300 342 370 376	-1708494954820
SPT(16)	1264416971532835411	0 22 42 90 100 120 148 162 166 180 208 228 238 286 306 328	-1264165865926
STPT(10)	1264417002464487869	0 2 48 50 90 92 132 134 180 182	-1233234213468
TPT(14)	1264417123871244947	0 2 114 116 132 134 240 242 270 272 294 296 324 326	-1111827456390
SPT(16)	1264417374906517607	0 32 72 86 116 144 146 152 174 180 182 210 240 254 294 326	-860792183730
SPT(16)	1264418068347226829	0 12 14 32 38 44 72 84 98 110 138 144 150 168 170 182	-167351474508
SPT(16)	1264418501385596827	0 30 34 40 46 54 70 90 166 186 202 210 216 222 226 256	265686895490
SPT(16)	1264418875673018827	0 16 24 66 76 84 100 136 150 186 202 210 220 262 270 286	639974317490
SPT(16)	1264419011784722737	0 4 54 84 94 100 136 186 220 270 306 312 322 352 402 406	776086021400
SPT(16)	1264419099553686913	0 16 36 84 96 100 114 126 154 166 180 184 196 244 264 280	863854985576
SPT(16)	1264420155484150193	0 8 26 68 126 144 156 194 270 308 320 338 396 438 456 464	1919785448856