Prime p₀= 2311880409542723207 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2311879958414456993	0 24 56 104 110 138 170 194 210 234 266 294 300 348 380 404	-451128266214
TPT(14)	2311880006293904507	0 2 42 44 60 62 180 182 282 284 294 296 402 404	-403248818700
SPT(16)	2311880077953789137	0 62 92 110 152 194 204 212 222 230 240 282 324 342 372 434	-331588934070
SPT(16)	2311880090250405287	0 12 20 86 96 116 126 144 182 200 210 230 240 306 314 326	-319292317920
SPT(16)	2311880237218118969	0 54 98 140 162 182 194 264 278 348 360 380 402 444 488 542	-172324604238
STPT(10)	2311880263270874909	0 2 18 20 30 32 42 44 60 62	-146271848298
SPT(16)	2311880468676085499	0 44 78 98 110 140 164 170 258 264 288 318 330 350 384 428	59133362292
SPT(16)	2311880496602935253	0 30 48 56 78 98 144 176 198 230 276 296 318 326 344 374	87060212046
STPT(10)	2311881228405573827	0 2 30 32 72 74 114 116 144 146	818862850620
SPT(16)	2311881405937443383	0 8 80 98 108 110 114 120 158 164 168 170 180 198 270 278	996394720176
STPT(10)	2311881550047040799	0 2 18 20 60 62 102 104 120 122	1140504317592