Prime p₀= 2307305033234443367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2307303823594385087	0 30 44 140 180 182 194 206 240 252 264 266 306 402 416 446	-1209640058280
SPT(16)	2307303884889215867	0 50 56 72 90 92 134 152 204 222 264 266 284 300 306 356	-1148345227500
STPT(10)	2307303914234977907	0 2 12 14 42 44 72 74 84 86	-1118999465460
SPT(16)	2307304517382819529	0 28 54 58 60 70 84 112 180 208 222 232 234 238 264 292	-515851623838
STPT(10)	2307304728038607509	0 2 42 44 60 62 78 80 120 122	-305195835858
STPT(10)	2307304918648754597	0 2 42 44 72 74 102 104 144 146	-114585688770
SPT(16)	2307305374351861747	0 64 112 142 156 190 222 252 304 334 366 400 414 444 492 556	341117418380
SPT(16)	2307305463634042363	0 4 24 60 64 76 84 90 130 136 144 156 160 196 216 220	430399598996
STPT(10)	2307305592167898989	0 2 18 20 30 32 42 44 60 62	558933455622
SPT(16)	2307305672637480761	0 2 30 42 138 140 152 162 176 186 198 200 296 308 336 338	639403037394
SPT(16)	2307305841401446429	0 4 18 34 84 90 124 148 150 174 208 214 264 280 294 298	808167003062