Prime p₀= 2678260677769022807 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: Asgard2022
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2678259532075032757	0 12 42 46 60 126 132 180 196 244 250 316 330 334 364 376	-1145693990050
STPT(10)	2678259922970056091	0 2 6 8 18 20 30 32 36 38	-754798966716
SPT(16)	2678260015022675711	0 12 20 26 140 180 182 216 266 300 302 342 456 462 470 482	-662746347096
SPT(16)	2678260249644689597	0 2 32 86 90 110 144 156 170 182 216 236 240 294 324 326	-428124333210
SPT(16)	2678260464742399403	0 6 44 48 60 74 104 110 144 150 180 194 206 210 248 254	-213026623404
STPT(10)	2678260561973592017	0 2 90 92 102 104 114 116 204 206	-115795430790
SPT(16)	2678261797711519067	0 12 54 66 72 116 140 144 152 156 180 224 230 242 284 296	1119942496260
SPT(16)	2678261867711030963	0 60 74 104 146 186 224 230 264 270 308 348 390 420 434 494	1189942008156
SPT(16)	2678261948401759451	0 6 12 26 110 128 210 242 366 398 480 498 582 596 602 608	1270632736644
STPT(10)	2678262099185920769	0 2 18 20 30 32 42 44 60 62	1421416897962
SPT(20)	2678262178216779617	0 36 42 114 152 156 182 192 206 222 224 240 254 264 290 294 332 404 410 446	1500447756810