Prime p₀= 2227602703173916877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2227602178792162681	0 12 18 82 90 108 126 132 166 172 190 208 216 280 286 298	-524381754196
SPT(16)	2227602211945099663	0 66 108 126 130 144 150 156 298 304 310 324 328 346 388 454	-491228817214
SPT(16)	2227602280170646609	0 10 138 180 208 214 228 280 318 370 384 390 418 460 588 598	-423003270268
SPT(16)	2227602466091472517	0 22 40 60 64 66 90 106 150 166 190 192 196 216 234 256	-237082444360
SPT(16)	2227602491793615439	0 12 42 72 84 112 114 154 228 268 270 298 310 340 370 382	-211380301438
STPT(10)	2227602680461614821	0 2 30 32 78 80 126 128 156 158	-22712302056
SPT(16)	2227603418198108771	0 6 36 80 98 116 122 140 168 186 192 210 228 272 302 308	715024191894
SPT(16)	2227603505046363023	0 24 26 48 84 104 110 116 138 144 150 170 206 228 230 254	801872446146
STPT(10)	2227603543046725157	0 2 12 14 42 44 72 74 84 86	839872808280
STPT(10)	2227603648950432287	0 2 12 14 132 134 252 254 264 266	945776515410
SPT(16)	2227603668705208513	0 4 66 114 136 156 180 196 198 214 238 258 280 328 390 394	965531291636