Prime p₀= 2309968791018934187 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: FritzB
db: batch=81, k=10, 2 70 2 28 2

SPT(18)	2309967948423260669	0 38 42 98 120 144 152 162 188 264 290 300 308 332 354 410 414 452	-842595673518
SPT(16)	2309968082491960291	0 10 18 60 90 100 112 156 172 216 228 238 268 310 318 328	-708526973896
STPT(10)	2309968106609462147	0 2 30 32 60 62 90 92 120 122	-684409472040
STPT(10)	2309968244525305979	0 2 18 20 30 32 42 44 60 62	-546493628208
SPT(16)	2309968321494367453	0 36 64 96 106 166 190 220 234 264 288 348 358 390 418 454	-469524566734
STPT(10)	2309968451023878941	0 2 6 8 18 20 30 32 36 38	-339995055246
SPT(16)	2309968818898192063	0 16 24 30 36 58 66 100 174 208 216 238 244 250 258 274	27879257876
TPT(14)	2309969232312202931	0 2 30 32 96 98 120 122 150 152 240 242 246 248	441293268744
SPT(16)	2309969357702961653	0 20 48 90 108 140 174 188 216 230 264 296 314 356 384 404	566684027466
STPT(10)	2309969449354921169	0 2 12 14 30 32 48 50 60 62	658335986982
SPT(16)	2309970602012538923	0 44 50 78 84 90 120 126 128 134 164 170 176 204 210 254	1810993604736