Prime p₀= 1292346092314313579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: =Lupus=
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1292344575333062879	0 8 12 14 18 42 60 140 162 242 260 284 288 290 294 302	-1516981250700
STPT(10)	1292344761155632739	0 2 18 20 60 62 102 104 120 122	-1331158680840
SPT(16)	1292344826416797277	0 12 40 46 54 60 76 126 130 180 196 202 210 216 244 256	-1265897516302
SPT(16)	1292344986898844497	0 54 76 90 112 142 204 234 292 322 384 414 436 450 472 526	-1105415469082
STPT(10)	1292345328406988039	0 2 30 32 60 62 90 92 120 122	-763907325540
SPT(16)	1292345638843319617	0 6 22 36 42 64 112 126 160 174 222 244 250 264 280 286	-453470993962
SPT(16)	1292346322281583399	0 4 10 12 18 22 52 64 108 120 150 154 160 162 168 172	229967269820
STPT(10)	1292346352293108941	0 2 6 8 48 50 90 92 96 98	259978795362
SPT(16)	1292346394638303331	0 66 88 138 148 150 162 172 186 196 208 210 220 270 292 358	302323989752
SPT(16)	1292346549280054469	0 80 84 102 134 152 164 210 242 288 300 318 350 368 372 452	456965740890
SPT(16)	1292346844860938617	0 6 34 36 46 84 90 106 240 256 262 300 310 312 340 346	752546625038