Prime p₀= 767918070823900817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: declis
db: batch=73, k=10, 2 58 2 10 2

SPT(16)	767917620863823601	0 6 10 12 40 58 66 96 112 142 150 168 196 198 202 208	-449960077216
SPT(16)	767917705012543093	0 4 54 84 94 138 150 198 250 298 310 354 364 394 444 448	-365811357724
SPT(16)	767917784400128123	0 6 24 54 60 90 164 186 188 210 284 314 320 350 368 374	-286423772694
STPT(10)	767917808527389587	0 2 12 14 42 44 72 74 84 86	-262296511230
STPT(10)	767917935101017427	0 2 24 26 42 44 60 62 84 86	-135722883390
SPT(16)	767917970756866403	0 26 66 68 80 90 108 110 204 206 224 234 246 248 288 314	-100067034414
SPT(16)	767918123764301759	0 8 32 60 72 74 104 134 138 168 198 200 212 240 264 272	52940400942
STPT(10)	767918765734756421	0 2 30 32 78 80 126 128 156 158	694910855604
SPT(16)	767918797506196373	0 24 56 60 74 174 186 270 290 374 386 486 500 504 536 560	726682295556
STPT(10)	767918808805928831	0 2 6 8 18 20 30 32 36 38	737982028014
SPT(16)	767918953932101467	0 34 42 60 82 100 124 126 130 132 156 174 196 214 222 256	883108200650