Prime p₀= 2306644147594683437 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: Orange Kid
db: batch=81, k=10, 2 70 2 28 2

SPT(16)	2306642378254820069	0 2 32 60 98 114 120 140 162 182 188 204 242 270 300 302	-1769339863368
STPT(10)	2306642454646803587	0 2 30 32 42 44 54 56 84 86	-1692947879850
TPT(14)	2306642582361796169	0 2 30 32 72 74 108 110 138 140 168 170 192 194	-1565232887268
STPT(10)	2306643578163179501	0 2 36 38 78 80 120 122 156 158	-569431503936
SPT(16)	2306643808856928991	0 22 28 88 120 126 190 192 196 198 262 268 300 360 366 388	-338737754446
STPT(10)	2306644118509531637	0 2 12 14 72 74 132 134 144 146	-29085151800
SPT(16)	2306644470953433431	0 6 32 38 60 62 72 198 260 386 396 398 420 426 452 458	323358749994
STPT(10)	2306644478924027321	0 2 30 32 78 80 126 128 156 158	331329343884
SPT(16)	2306644629401178793	0 6 16 34 84 154 156 160 210 214 216 286 336 354 364 370	481806495356
SPT(16)	2306644926411542429	0 12 14 20 60 74 102 114 140 152 180 194 234 240 242 254	778816858992
SPT(16)	2306644975405567187	0 2 20 26 66 122 132 140 156 164 174 230 270 276 294 296	827810883750