Prime p₀= 878568022569018359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [AF>Libristes]Maeda
db: batch=73, k=10, 2 40 2 46 2

SPT(16)	878566675876566647	0 6 32 42 62 66 92 116 150 174 200 204 224 234 260 266	-1346692451712
SPT(16)	878566703589041683	0 10 28 30 46 58 60 66 178 184 186 198 214 216 234 244	-1318979976676
SPT(16)	878566753601905909	0 4 88 90 100 118 120 144 244 268 270 288 298 300 384 388	-1268967112450
TPT(14)	878567172711628661	0 2 30 32 60 62 156 158 216 218 228 230 258 260	-849857389698
STPT(10)	878567542171322741	0 2 6 8 108 110 210 212 216 218	-480397695618
TPT(14)	878567780100597701	0 2 6 8 36 38 90 92 156 158 228 230 246 248	-242468420658
STPT(10)	878568273741424961	0 2 36 38 78 80 120 122 156 158	251172406602
SPT(16)	878568542264223133	0 58 66 88 94 114 136 166 198 228 250 270 276 298 306 364	519695204774
SPT(16)	878568661948306943	0 26 54 66 138 168 174 236 258 320 326 356 428 440 468 494	639379288584
SPT(16)	878568720947339033	0 6 14 44 150 240 278 296 318 336 374 464 570 600 608 614	698378320674
STPT(10)	878569075600497551	0 2 6 8 48 50 90 92 96 98	1053031479192