Prime p₀= 2221123516150378727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2221122203470798751	0 26 36 48 78 90 92 120 158 186 188 200 230 242 252 278	-1312679579976
SPT(16)	2221122361952865937	0 42 52 60 90 96 112 180 256 324 340 346 376 384 394 436	-1154197512790
STPT(10)	2221122798726872837	0 2 30 32 42 44 54 56 84 86	-717423505890
SPT(16)	2221123174053731141	0 6 50 62 68 78 96 138 140 182 200 210 216 228 272 278	-342096647586
SPT(16)	2221123264755645109	0 12 28 34 52 100 142 150 202 210 252 300 318 324 340 352	-251394733618
STPT(10)	2221123317045880199	0 2 78 80 120 122 162 164 240 242	-199104498528
SPT(16)	2221123549807253911	0 18 36 42 58 70 96 100 108 112 138 150 166 172 190 208	33656875184
SPT(16)	2221123570871960221	0 22 48 76 90 96 136 150 178 192 232 238 252 280 306 328	54721581494
SPT(16)	2221123783505754371	0 6 48 56 66 128 132 156 182 206 210 272 282 290 332 338	267355375644
STPT(10)	2221123809926259809	0 2 18 20 30 32 42 44 60 62	293775881082
STPT(10)	2221123858064185169	0 2 18 20 30 32 42 44 60 62	341913806442