Prime p₀= 2568368661021233669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2568367750442640493	0 6 54 70 84 96 100 156 184 240 244 256 270 286 334 340	-910578593176
SPT(16)	2568368051576905873	0 28 114 120 126 138 150 154 180 184 196 208 214 220 306 334	-609444327796
SPT(16)	2568368298675197773	0 6 28 34 58 60 66 84 100 118 124 126 150 156 178 184	-362346035896
STPT(10)	2568368531339258741	0 2 30 32 60 62 90 92 120 122	-129681974928
SPT(16)	2568368612635928747	0 2 12 24 42 54 56 140 276 360 362 374 392 404 414 416	-48385304922
SPT(16)	2568368613043989781	0 82 88 100 132 138 160 168 172 180 202 208 240 252 258 340	-47977243888
SPT(16)	2568368748030307543	0 40 66 114 124 154 156 166 168 178 180 210 220 268 294 334	87009073874
SPT(16)	2568369247914621157	0 40 84 90 132 142 160 180 196 216 234 244 286 292 336 376	586893387488
SPT(16)	2568369331133292487	0 10 36 40 52 76 82 106 210 234 240 264 276 280 306 316	670112058818
SPT(16)	2568369366924156181	0 18 22 42 66 72 102 136 162 196 226 232 256 276 280 298	705902922512
STPT(10)	2568369440760985247	0 2 12 14 42 44 72 74 84 86	779739751578