Prime p₀= 2768819004665205389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [B^S]ABoskovich
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2768818136777071019	0 18 32 42 84 92 134 144 158 168 210 218 260 270 284 302	-867888134370
SPT(16)	2768818156177712399	0 18 24 62 78 92 98 164 228 294 300 314 330 368 374 392	-848487492990
STPT(10)	2768818364185581707	0 2 24 26 42 44 60 62 84 86	-640479623682
SPT(16)	2768818397462697317	0 6 96 132 170 176 194 264 332 402 420 426 464 500 590 596	-607202508072
STPT(10)	2768818462068893327	0 2 30 32 60 62 90 92 120 122	-542596312062
TPT(14)	2768818597388577761	0 2 30 32 60 62 210 212 360 362 366 368 390 392	-407276627628
SPT(16)	2768819233984340533	0 64 90 96 100 118 120 124 150 154 156 174 178 184 210 274	229319135144
TPT(14)	2768819830234337639	0 2 42 44 102 104 132 134 138 140 168 170 240 242	825569132250
SPT(16)	2768820173272064243	0 78 296 330 336 356 390 428 468 506 540 560 566 600 818 896	1168606858854
STPT(10)	2768820253213330529	0 2 48 50 90 92 132 134 180 182	1248548125140
SPT(16)	2768820439629739711	0 16 28 58 108 138 196 208 210 222 280 310 360 390 402 418	1434964534322